Intermediate First Year Mathematics Paper 1B>Chapter 6 - Direction Cosines and Direction Ratios>Exercise 6(b)>Q I

EASY

11th Andhra Pradesh Board

IMPORTANT

Earn 100

The direction ratios of a line are $(- 6, 2, 3)$ . Find its direction cosines.

Important Questions on Direction Cosines and Direction Ratios

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 6 - Direction Cosines and Direction Ratios>Exercise 6(b)>Q I

Find the cosine of the angle between the lines whose direction cosines are

(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}})

and

(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, 0)

.

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 6 - Direction Cosines and Direction Ratios>Exercise 6(b)>Q I

Find the angle between the lines whose direction ratios are

(1, 1, 2), (\sqrt{3}, - \sqrt{3}, 0)

.

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 6 - Direction Cosines and Direction Ratios>Exercise 6(b)>Q I

Show that the lines with direction cosines

(\frac{12}{13}, \frac{- 3}{13}, \frac{- 4}{13})

and

(\frac{4}{13}, \frac{12}{13}, \frac{3}{13})

are perpendicular to each other.

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 6 - Direction Cosines and Direction Ratios>Exercise 6(b)>Q I

O

is the origin,

P (2, 3, 4)

and

Q (1, k, 1)

are points such that

O P ⊥ O Q

. Find

k

.

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 6 - Direction Cosines and Direction Ratios>Exercise 6(b)>Q II

If the direction ratios of a line are

(3, 4, 0)

find its direction cosines and also the angles made with the coordinate axes.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 6 - Direction Cosines and Direction Ratios>Exercise 6(b)>Q II

Show that the line through the points

(1, - 1, 2), (3, 4, - 2)

is perpendicular to the line through the points

(0, 3, 2)

and

(3, 5, 6)

.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 6 - Direction Cosines and Direction Ratios>Exercise 6(b)>Q II

Find the angle between

D C

and

A B

where

A = (3, 4, 5), B = (4, 6, 3), C = (- 1, 2, 4)

and

D (1, 0, 5)

.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 6 - Direction Cosines and Direction Ratios>Exercise 6(b)>Q II

Find the direction cosines of a line which is perpendicular to the lines whose direction ratios are

(1, - 1, 2)

and

(2, 1, - 1)

.