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Recent questions in Vector Algebra
Questions
>>
CBSE XII
>>
Math
>>
Vector Algebra
Find the volume of the tetrahedron formed by the four planes
x
+
y
=
0
,
y
+
z
=
0
,
z
+
x
=
0
,
x
+
y
=
1
cbse
class12
ch10
asked
Jul 9, 2019
by
meena.clay6
1
answer
If the points
(
1
,
1
,
p
)
and
(
−
3
,
0
,
1
)
are at equidistant from the plane
→
r
.
(
3
ˆ
i
+
4
ˆ
j
−
12
ˆ
k
)
+
13
=
0
,
then find the value of p.
cbse
class12
maths
ch10
sec-c
asked
Dec 28, 2016
by
priyanka.c
1
answer
If
θ
is the angle between any two vectors
→
a
and
→
b
, then
|
→
a
.
→
b
|
=
|
→
a
×
→
b
|
, then what is the value of
θ
cbse
class12
maths
ch10
sec-a
asked
Dec 20, 2016
by
priyanka.c
1
answer
Find the area of the triangle formed where vertices are A (3, -1, 2), B (1, -1, -3) and C (4, -3, 1).
cbse
class12
maths
ch10
sec-c
asked
Dec 10, 2016
by
priyanka.c
1
answer
If
θ
be the angle between two unit vectors. Evaluate
sin
θ
2
cbse
class12
maths
sec-b
ch10
asked
Nov 25, 2016
by
priyanka.c
1
answer
If A, B, C are position vectors (2, 0, 0), (0, 1, 0) and (0, 0, 2) show that
△
A
B
C
is isosceles .
cbse
class12
maths
sec-e
ch10
asked
Nov 23, 2016
by
priyanka.c
1
answer
If
|
→
a
|
=
11
,
|
→
b
|
=
23
a
n
d
|
→
a
−
→
b
|
=
30
cbse
class12
maths
sec-e
ch10
asked
Nov 22, 2016
by
priyanka.c
1
answer
Are the vectors
(
ˆ
i
+
ˆ
j
+
ˆ
k
)
,
(
2
ˆ
i
+
3
ˆ
j
−
ˆ
k
)
and
(
−
ˆ
i
−
2
ˆ
j
+
2
ˆ
k
)
are linearly dependent ?
cbse
class12
maths
sec-e
ch10
asked
Nov 21, 2016
by
priyanka.c
1
answer
Find the point at which the target to the curve
y
=
√
4
x
−
3
−
1
has its slope
2
3
cbse
class12
maths
sec-e
ch6
asked
Nov 21, 2016
by
priyanka.c
1
answer
Find the shortest distance between the line
l
1
and
l
2
given by:
→
r
=
ˆ
i
+
2
ˆ
j
−
4
ˆ
k
+
λ
(
2
ˆ
i
+
3
ˆ
j
+
6
ˆ
k
)
a
n
d
→
r
=
3
ˆ
i
+
3
ˆ
j
−
5
ˆ
k
+
μ
(
2
ˆ
i
+
3
ˆ
j
+
6
ˆ
k
)
cbse
class12
maths
sec-e
ch10
asked
Nov 20, 2016
by
priyanka.c
1
answer
Find the vector and Cartesian equation of the line through the point (5, 2, -4) and which is parallel to the vector
3
ˆ
i
+
2
ˆ
j
−
8
ˆ
k
cbse
class12
maths
sec-e
ch10
asked
Nov 19, 2016
by
priyanka.c
1
answer
A line passes through (2, -1, 3) and is perpendicular to the line
→
r
=
(
ˆ
i
+
ˆ
j
−
ˆ
k
)
+
λ
(
2
ˆ
i
−
2
ˆ
j
+
ˆ
k
)
and
→
r
=
(
2
ˆ
i
−
ˆ
j
−
3
ˆ
k
)
+
μ
(
ˆ
i
+
2
ˆ
j
+
2
ˆ
k
)
. Obtain its equation.
cbse
class12
maths
sec-e
ch10
asked
Nov 18, 2016
by
priyanka.c
1
answer
If
→
a
=
ˆ
i
+
2
ˆ
j
+
3
ˆ
k
and
→
b
=
2
ˆ
i
+
4
ˆ
j
−
5
ˆ
k
represents two adjacent sides of a parallelogram, find unit vectors parallel to the diagonals of the parallelogram.
cbse
class12
maths
sec-e
ch10
asked
Nov 18, 2016
by
priyanka.c
1
answer
If the points
A
(
−
1
,
3
,
2
)
,
B
(
−
4
,
2
,
−
2
)
and
C
(
5
,
5
,
λ
)
are collinear, find the value of
λ
cbse
class12
maths
ch11
sec-e
asked
Nov 16, 2016
by
priyanka.c
1
answer
Write the value of the following:
ˆ
i
×
(
ˆ
j
+
ˆ
k
)
+
ˆ
j
×
(
ˆ
k
+
ˆ
i
)
+
ˆ
k
×
(
ˆ
i
+
ˆ
j
)
cbse
class12
ch10
modelpaper-2014
sec-a
q9
easy
math
asked
Mar 21, 2014
by
balaji
1
answer
A tow truck drags a stationary car along the road. The chain makes an angle of 30 degrees with the road and the tension in the chain is 1500 N. How much work is done (in Joules) by the truck in pulling the car 1 km (approximate answer, rounded off)?
cbse
class12
ch10
additionalproblem
medium
sec-a
math
asked
Feb 11, 2014
by
balaji.thirumalai
1
answer
Find
|
→
x
|
, if for a unit vector
→
a
,
(
→
x
−
→
a
)
.
(
→
x
+
→
a
)
=
15
cbse
class12
additionalproblem
ch10
sec-a
easy
vector-algebra
math
asked
Feb 3, 2014
by
rvidyagovindarajan_1
1
answer
If the sum of two unit vector is a unit vector, then what is the angle between them?
cbse
class12
additionalproblem
ch10
sec-a
medium
vector-algebra
math
asked
Feb 3, 2014
by
rvidyagovindarajan_1
1
answer
What is the angle between following planes
2
x
−
3
y
+
4
z
=
1
and
−
x
+
y
=
4
?
cbse
class12
additionalproblem
ch10
sec-a
easy
math
asked
Jan 30, 2014
by
balaji
1
answer
What is the area of the parallelogram having diagonals
3
ˉ
i
+
ˉ
j
−
2
ˉ
k
a
n
d
ˉ
i
−
3
ˉ
j
+
4
ˉ
k
?
cbse
class12
additionalproblem
ch10
sec-a
medium
math
asked
Jan 30, 2014
by
balaji
1
answer
If
→
a
=
ˆ
i
+
ˆ
j
+
2
ˆ
k
a
n
d
→
b
=
2
ˆ
i
+
ˆ
j
−
2
ˆ
k
,
then find the unit vector in the direction of
2
→
a
−
→
b
cbse
class12
ch10
q2ii
p215
exemplar
easy
sec-a
math
asked
May 24, 2013
by
meena.p
1
answer
In triangle ABC (Fig 10.18),which of the following is not true :
cbse
class12
bookproblem
ch10
sec2
q18
p441
sec-a
easy
math
asked
May 20, 2013
by
sreemathi.v
1
answer
Find the position vector of a point
R
which divides the line joining two points
P
and
Q
whose position vectors are
ˆ
i
+
2
ˆ
j
−
ˆ
k
and
–
ˆ
i
+
ˆ
j
+
ˆ
k
respectively, in the ratio
2
:
1
externally
cbse
class12
bookproblem
ch10
sec2
q15
q15-2
p440
sec-b
medium
math
asked
May 20, 2013
by
sreemathi.v
1
answer
Compute the magnitude of the following vectors:
(
i
i
i
)
→
c
=
1
√
3
ˆ
i
+
1
√
3
ˆ
j
−
1
√
3
ˆ
k
cbse
class12
bookproblem
ch10
sec2
q1
q1-3
p440
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Compute the magnitude of the following vectors:
(
i
i
)
→
b
=
2
ˆ
i
−
7
ˆ
j
−
3
ˆ
k
cbse
class12
bookproblem
ch10
sec2
q1
q1-2
p440
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Answer the following as true or false. (iv) Two collinear vectors having same magnitude are equal.
cbse
class12
bookproblem
ch10
sec1
q5
q5-4
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Answer the following as true or false. (iii) Two vectors having same magnitude are collinear.
cbse
class12
bookproblem
ch10
sec1
q5
q5-3
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Answer the following as true or false. (ii) Two collinear vectors are always equal in magnitude.
cbse
class12
bookproblem
ch10
sec1
q5
q5-2
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following as scalar and vector quantities.
(
v
)
work done
cbse
class12
bookproblem
ch10
sec1
q3
q3-5
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following as scalar and vector quantities.
(
i
v
)
velocity.
cbse
class12
bookproblem
ch10
sec1
q3
q3-4
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following as scalar and vector quantities.
(
i
i
i
)
force.
cbse
class12
bookproblem
ch10
sec1
q3
q3-3
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following as scalar and vector quantities.
distance.
cbse
class12
bookproblem
ch10
sec1
q3
q3-2
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following measures as scalars and vectors.
20
m
/
s
2
cbse
class12
bookproblem
ch10
sec1
q2
q2-6
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following measures as scalars and vectors.
10
−
19
coulomb
cbse
class12
bookproblem
ch10
sec1
q2
q2-5
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following measures as scalars and vectors.
40
watt
cbse
class12
bookproblem
ch10
sec1
q2
q2-4
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following measures as scalars and vectors.
40
∘
cbse
class12
bookproblem
ch10
sec1
q2
q2-3
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following measures as scalars and vectors.
2
meters north-west
cbse
class12
bookproblem
ch10
sec1
q2
q2-2
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Using vector method prove that :
d
)
cos
(
A
+
B
)
=
cos
A
cos
B
+
sin
A
sin
B
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-d
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
Using vector method prove that :
c
)
cos
(
A
+
B
)
=
cos
A
cos
B
−
sin
A
sin
B
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-c
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
Using vector method prove that :
b
)
sin
(
A
−
B
)
=
sin
A
cos
B
−
cos
A
sin
B
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-b
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
If
→
a
a
n
d
→
b
are unit vectors then prove that
1
2
|
→
a
−
→
b
|
=
s
i
n
θ
2
.
class12
ch10
kvquestionbank2012
q8
b
difficult
sec-b
asked
Apr 19, 2013
by
rvidyagovindarajan_1
1
answer
Find the angle between the vectors
|
→
a
|
→
b
+
|
→
b
|
→
a
and
|
→
a
|
→
b
−
|
→
b
|
→
a
where
→
a
and
→
b
are non zero vectors
concepts
asked
Mar 31, 2013
by
rvidyagovindarajan_1
0
answers
Find the angle inclined by the vector
ˆ
i
+
ˆ
j
+
ˆ
k
with the coordinate axes.
concepts
asked
Mar 24, 2013
by
rvidyagovindarajan_1
0
answers
e) Find a unit vector parallel to the sum of the vector = and = ?
asked
Mar 13, 2013
by
pt1281126
0
answers
If a, b & c are the lengths of the sides of a triangle, using vector method, show that its area is
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
where
2
s
=
a
+
b
+
c
cbse
class12
kvquestionbank2012
ch10
q27
p36
difficult
sec-c
math
asked
Feb 5, 2013
by
meena.p
1
answer
If D, E & F are the mid-points of the sides of a triangle ABC, prove by vector method that area of
△
D
E
F
=
1
4
(
a
r
e
a
o
f
△
A
B
C
)
.
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q26
p36
math
asked
Feb 5, 2013
by
meena.p
0
answers
If a, b & c are the lengths of the sides opposite respectively to the angles A, B & C of a
△
A
B
C
,
using vector method show that
a
)
cos
A
=
b
2
+
c
2
−
a
2
2
b
c
b
)
a
=
b
cos
C
+
c
cos
B
.
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q25
p36
math
asked
Feb 5, 2013
by
meena.p
0
answers
Prove by vector method, that the parallelogram on the same base and between the same parallels are equal in area.
cbse
class12
additionalproblem
kvquestionbank2012
q24
p36
math
asked
Feb 5, 2013
by
meena.p
0
answers
Using vector method, show that the diagonals of a Rhombus bisect each other at right angles.
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q23
p36
difficult
sec-b
math
asked
Feb 5, 2013
by
meena.p
1
answer
Using vector method, prove that if two medians of a triangle are equal, then it is an isosceles.
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q22
p36
difficult
sec-b
math
asked
Feb 5, 2013
by
meena.p
1
answer
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