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Recent questions tagged sec-a
Questions
Classify the following measures as scalars and vectors. $(i)\;10\: kg$
cbse
class12
bookproblem
ch10
ex-1
q2
q2-1
p428
sec-a
easy
math
asked
Dec 7, 2012
by
thanvigandhi_1
1
answer
Classify the following as scalar and vector quantities. $ (i)\; $time period.
cbse
class12
bookproblem
ch10
ex-1
q3
q3-1
p428
sec-a
easy
math
asked
Dec 7, 2012
by
thanvigandhi_1
1
answer
In Fig 10.6 (a square), identify the following vectors. \[(i)\; Coinitial\qquad (ii)\; Equal\qquad (iii)\; Collinear\; but\; not\; equal \]
cbse
class12
bookproblem
ch10
ex-1
q4
p428
sec-a
easy
math
asked
Dec 7, 2012
by
thanvigandhi_1
1
answer
Answer the following as true or false. $\\(i)\; \overrightarrow a$ and -$\overrightarrow a$ are collinear.
cbse
class12
bookproblem
ch10
ex-1
q5
q5-1
p428
sec-a
easy
math
asked
Dec 7, 2012
by
thanvigandhi_1
1
answer
Compute the following $\;\begin{bmatrix}a^2+b^2 & b^2+c^2\\a^2+c^2 & a^2+b^2\end{bmatrix}+\begin{bmatrix}2ab & 2bc\\-2ac & 2ab\end{bmatrix}$
cbse
class12
bookproblem
ch3
sec2
q2-2
p80
easy
shortanswer
sec-a
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Prove the following \[3\cos^{-1}x=\cos^{-1}(4x^3-3x), \;x\;\in\bigg[\frac{1}{2},1\bigg]\]
cbse
class12
bookproblem
ch2
sec2
q2
p47
veryshort
easy
sec-a
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Compute the magnitude of the following vectors: $(i)\;\overrightarrow a = \hat i + \hat j + \hat k$
cbse
class12
bookproblem
ch10
sec2
q1
q1-1
p440
sec-a
easy
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Write two different vectors having same magnitude.
cbse
class12
bookproblem
ch10
sec2
q2
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Write two different vectors having same direction.
cbse
class12
bookproblem
ch10
sec2
q3
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the values of $x$ and $y$ so that the vectors $2\hat i + 3\hat j$ and $x\hat i + y\hat j$ are equal.
cbse
class12
bookproblem
ch10
sec2
q4
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the scalar and vector components of the vector with initial point $(2, 1)$ and terminal point $(– 5, 7).$
cbse
class12
bookproblem
ch10
sec2
q5
p440
medium
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the sum of the vectors $\overrightarrow a=\hat i − 2\hat j + \hat k, \overrightarrow b=−2\hat i + 4\hat j + 5\hat k$ and $\overrightarrow c = \hat i − 6\hat j – 7\hat k$ .
cbse
class12
bookproblem
ch10
sec2
q6
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the unit vector in the direction of the vector $ \overrightarrow a = \hat i + \hat j + 2\hat k$ .
cbse
class12
bookproblem
ch10
sec2
q7
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the unit vector in the direction of vector $ \overline{PQ}$, where $P$ and $Q$ are the points $(1, 2, 3)$ and $(4, 5, 6)$ respectively.
cbse
class12
bookproblem
ch10
sec2
q8
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
For given vectors, $ \overrightarrow a=2\hat i − \hat j + 2\hat k$ and $ \overrightarrow b=−\hat i + \hat j − \hat k$, find the unit vector in the direction of the vector $ \overrightarrow a +\overrightarrow b.$
cbse
class12
bookproblem
ch10
sec2
q9
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find a vector in the direction of vector $5\hat i − \hat j + 2\hat k$ which has magnitude $8$ units.
cbse
class12
bookproblem
ch10
sec2
q10
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Show that the vectors \(2\hat i − 3\hat j + 4\hat k\) and \(− 4\hat i + 6\hat j − 8\hat k\) are collinear.
class12
bookproblem
ch10
sec2
q11
p440
easy
sec-a
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the direction cosines of the vector $\hat i + 2\hat j + 3\hat k$
cbse
class12
bookproblem
ch10
sec2
q12
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the direction cosines of the vector joining the points $A(1, 2, –3)$ and $B(–1, –2, 1),$ directed from $A$ to $B$.
cbse
class12
bookproblem
ch10
sec2
q13
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the position vector of the mid point of the vector joining the points $P(2, 3, 4)$ and $Q(4, 1, –2)$.
cbse
class12
bookproblem
ch10
sec2
q16
p441
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
If $\overrightarrow a$ and $ \overrightarrow b$ are two collinear vectors, then which of the following are incorrect:
cbse
class12
bookproblem
ch10
sec2
q19
p441
sec-a
easy
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the angle between two vectors \( \overrightarrow a\) and \( \overrightarrow b\) with magnitudes \( \sqrt 3\) and \(2\) , respectively having \( \overrightarrow a . \overrightarrow b = \sqrt 6.\)
cbse
class12
bookproblem
ch10
sec3
q1
p447
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the angle between the vectors $\hat i - 2\hat j + 3\hat k$ and $ 3\hat i - 2\hat j + \hat k$
cbse
class12
bookproblem
ch10
sec3
q2
p477
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find an anti derivative(or integral)of the function by the method of inspection $\sin 2x$
cbse
class12
bookproblem
ch7
sec1
q1
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the projection of the vector $ \hat i − \hat j$ on the vector $ \hat i + \hat j $.
cbse
class12
bookproblem
ch10
sec3
q3
p447
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find an anti derivative(or integral)of the function by the method of inspection $\cos 3x$
cbse
class12
bookproblem
ch7
sec1
q2
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the projection of the vector $ \hat i + 3\hat j + 7\hat k$ on the vector $7\hat i − \hat j + 8\hat k$.
cbse
class12
bookproblem
ch10
sec3
q4
p447
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find an anti derivative(or integral)of the function by the method of inspection $e^{2x}$
cbse
class12
bookproblem
ch7
sec1
q3
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find an anti derivative(or integral)of the function by the method of inspection $(ax+b)^2$
cbse
class12
bookproblem
ch7
sec1
q4
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find an anti derivative(or integral)of the function by the method of inspection $\sin2x-4e^{3x}$
cbse
class12
bookproblem
ch7
sec1
q5
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\int(4\;e^{3x}+1)\;dx$
cbse
class12
bookproblem
ch7
sec1
q6
p299
sec-a
medium
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\int x^2(1-\frac{1}{x^2})\;dx$
cbse
class12
bookproblem
ch7
sec1
q7
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\int(ax^2+bx+c)\;dx$
cbse
class12
bookproblem
ch7
sec1
q8
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\int(2x^2+e^x)\;dx$
cbse
class12
bookproblem
ch7
sec1
q9
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\Large \int \normalsize\bigg(\sqrt x-\frac{1}{\sqrt x}\bigg)^2\;dx$
cbse
class12
bookproblem
ch7
sec1
q10
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\displaystyle\int\frac{\large x^3+5x^2-4}{\large x^2}\;dx$
cbse
class12
bookproblem
ch7
sec1
q11
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\int\frac{\large x^3+3x+4}{\large \sqrt x}\;dx$
cbse
class12
bookproblem
ch7
sec1
q12
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $ \LARGE {\int } \normalsize \frac{\large x^3-x^2+x-1}{\large x-1}\;dx$
cbse
class12
bookproblem
ch7
sec1
q13
p299
sec-a
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\int(1-x)\sqrt x\;dx$
cbse
class12
bookproblem
ch7
sec1
q14
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\int\sqrt x\;(3x^2+2x+3)\;dx$
cbse
class12
bookproblem
ch7
sec1
q15
p299
sec-a
medium
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\int(2x-3cos\: x+e^x)\;dx$
cbse
class12
bookproblem
ch7
sec1
q16
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\int(2x^2-3sin\: x+5\sqrt x)\;dx$
cbse
class12
bookproblem
ch7
sec1
q17
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\int\sec x(\sec x+\tan x)dx$
cbse
class12
bookproblem
ch7
sec1
q18
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\large \int \frac{\sec^2x}{\large cosec^2x}$$dx$
cbse
class12
bookproblem
ch7
sec1
q19
p299
sec-a
medium
modelpaper
2012
q10
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integral $\displaystyle\int\frac{\large 2-3\sin x}{\large \cos^2x}dx$
cbse
class12
bookproblem
ch7
sec1
q20
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
The anti derivative of $\bigg(\sqrt x+\frac{1}{\sqrt x}\bigg)$ equals
cbse
class12
bookproblem
ch7
sec1
q21
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Evaluate the product $(3\overrightarrow a − 5\overrightarrow b) ⋅ (2\overrightarrow a + 7\overrightarrow b)$
cbse
class12
bookproblem
ch10
sec3
q7
p448
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
If $\frac{\large d}{\large dx}f(x)=4x^3-\frac{\large 3}{\large x^4}$ such that $f(2)=0$.Then $f(x)$ is
cbse
class12
bookproblem
ch7
sec1
q22
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the magnitude of two vectors $ \overrightarrow a$ and $\overrightarrow b$ , having the same magnitude and such that the angle between them is $60^{\omicron}$ and their scalar product is $\large \frac{1}{2}$.
cbse
class12
bookproblem
ch10
sec3
q8
p448
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find $| \overrightarrow x |$, if for a unit vector $\overrightarrow a , (\overrightarrow x − \overrightarrow a) ⋅ (\overrightarrow x + \overrightarrow a) =12$.
cbse
class12
bookproblem
ch10
sec3
q9
p448
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
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