MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 17

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12th CBSE

IMPORTANT

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If a line has direction ratios proportional to $2, - 1, - 2$ , then what are its direction cosines?

Important Questions on Directions Cosines and Direction Ratios

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 18

Write direction cosines of a line parallel to

z

-axis.

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 19

If a unit vector

\vec{a}

makes an angle

\frac{π}{3}

with

\hat{i}, \frac{π}{4}

with

\hat{j}

and an acute angle

θ

with

\hat{k}

, then find the value of

θ

.

EASY

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 20

Write the distance of a point

P (a, b, c)

from

x

-axis.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 21

If a line makes angles

90 °

and

60 °

respectively with the positive directions of

x

and

y

axes, find the angle which it makes with the positive direction of

z

-axis.

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 1

For every point $P (x, y, z)$ on the $x y$ -plane,

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 2

For every point $P (x, y, z)$ on the

x -

axis (except the origin),

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 3

A rectangular parallelepiped is formed by planes drawn through the points

(5, 7, 9)

and

(2, 3, 7)

parallel to the coordinate planes. The length of an edge of this rectangular parallelepiped is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 4

A parallelepiped is formed by planes drawn through the points

(2, 3, 5)

and

(5, 9, 7)

, parallel to the coordinate planes. The length of a diagonal of the parallelepiped is