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Recent questions tagged ch11
Questions
Find the coordinates of the point where the line through $(5, 1, 6)$ and $(3, 4, 1)$ crosses the YZ-plane.
cbse
class12
bookproblem
ch11
misc
p498
q10
sec-b
medium
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
Find the coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the ZX-plane.
cbse
class12
bookproblem
ch11
misc
p498
q11
sec-b
easy
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
Find the shortest distance between lines $\hat{r} = 6\hat{i} + 2\hat{j} + 2\hat{k} + \lambda ( \hat{i} - 2\hat{j} + 2\hat{k} )$ and $\hat{r} = - 4\hat{i} - \hat{k} + \mu (3\hat{i} - 2\hat{j} - 2\hat{k} )$
cbse
class12
bookproblem
ch11
misc
p498
q9
sec-b
easy
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
Find the vector equation of the line passing through $(1, 2, 3)$ and perpendicular to the plane $\hat{r} . (\hat{i} +2\hat{j} -5\hat{k}) +9 = 0$
cbse
class12
bookproblem
ch11
misc
p498
q7
sec-a
easy
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
If the lines $\large\frac{x-1} {-3} = \frac{y-2}{2k} = \frac{z-3}{2}$ and $\large\frac{x-1}{3k} = \frac{y-1}{1} = \frac{z-6}{-5}$ are perpendicular, find the value of $k$.
cbse
class12
bookproblem
ch11
misc
p498
q6
sec-a
easy
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
If the coordinates of the points $A, B, C, D$ be (1, 2, 3), (4, 5, 7), (-4, 3, -6) and (2, 9, 2) respectively, then find the angle between the lines $AB$ and $CD$.
cbse
class12
bookproblem
ch11
misc
p498
q5
sec-a
easy
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
Find the equation of a line parallel to x-axis and passing through the origin.
cbse
class12
bookproblem
ch11
misc
p498
q4
sec-a
easy
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
Find the angle between the lines whose direction ratios are $a, b, c$ and $b -c, c -a, a - b.$
cbse
class12
bookproblem
ch11
misc
p498
q3
sec-a
easy
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
If $ l_1, m_1, n_1$ and $l _2, m_2, n_2 $ are the direction cosines of two mutually perpendicular lines, show that the direction cosines of the line perpendicular to both of these are $m_1n_2-m_2n_1$, $n_1l_2-n_2l_1$, $l_1m_2-l_2m_1$
cbse
class12
bookproblem
ch11
misc
p497
q2
difficult
sec-b
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, – 1), (4, 3, – 1).
cbse
class12
bookproblem
ch11
misc
p497
q1
sec-a
easy
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
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