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

EASY

11th Andhra Pradesh Board

IMPORTANT

Earn 100

Find the direction cosines of the line joining the points $(- 4, 1, 7)$ and $(2, - 3, 2)$ .

Important Questions on Direction Cosines and Direction Ratios

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

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

Find the direction cosines of the sides of the triangle whose vertices are

(3, 5, - 4), (- 1, 1, 2)

and

(- 5, - 5, - 2)

.

EASY

11th Andhra Pradesh Board

IMPORTANT

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

Show that the lines

P Q

and

R S

are parallel where

P, Q, R, S

are the points

(2, 3, 4), (4, 7, 8), (- 1, - 2, 1)

and

(1, 2, 5)

respectively.

HARD

11th Andhra Pradesh Board

IMPORTANT

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

Find the direction cosines of two lines which are connected by the relations

l - 5 m + 3 n = 0

and

7 l^{2} + 5 m^{2} - 3 n^{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 direction ratios of the line joining the points

(3, 4, 0)

and

(4, 4, 4)

.

EASY

11th Andhra Pradesh Board

IMPORTANT

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

The direction ratios of a line are

(- 6, 2, 3)

. Find its direction cosines.

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.