Given the points A-2-3-4-B3-2-5-C1-1-2- - D3-2-4 The projection of the vector AB- on the vector CD- is

The correct option is C 1/7 The projection of the vector nbsp; AB→ on the vector nbsp; CD→ is A⃗B⃗ .C⃗D⃗ nbsp;/| C⃗D⃗ nbsp;| nbs ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Applications of Dot Product

Given the poi...

Question

Given the points $A (- 2, 3, 4), B (3, 2, 5), C (1, - 1, 2), & D (3, 2, - 4)$ The projection of the vector $\to A B$ on the vector $\to C D$ is

\frac{22}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- \frac{21}{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{7}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

- 47

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $\frac{1}{7}$
The projection of the vector $\to A B$ on the vector $\to C D$ is $\frac{\to A B . \to C D}{∣ ∣ \to C D ∣ ∣} = \frac{(5 i - j + k) . (2 i + 3 j - 6 k)}{| (2 i + 3 j - 6 k) |} = \frac{1}{7}$

Suggest Corrections

Similar questions

Q. Let

- - \to A B = 3^i -^j +^k

and

- - \to C D = 3^i + 2^j + 4^k

are two vectors. The position vectors of the points

\to A

and

\to C

are

6^i + 7^j + 4^k

and

- 9^j + 2^k

, respectively. Find the position vector of a point

P

on the line

A B

and a point

Q

on the line

C D

such that

- - \to P Q

is perpendicular to the vectors

- - \to A B

and

- - \to C D

Q. Using vectors show that the points

A (- 2, 3, 5)

B (7, 0, - 1)

C (- 3, - 2, - 5)

and

D (3, 4, 7)

are such that AB and CD intersect at the point

P (1, 2, 3)

Q. For

A (1, - 2, 4), B (5, - 1, 7), C (3, 6, - 2), D (4, 5, - 1)

, the projection of

¯ ¯¯¯¯¯¯ ¯ A B

¯ ¯¯¯¯¯¯¯ ¯ C D

is ________.

Q. Using vectors show that the point

A (- 2, 3, 5)

B (7, 0, - 1)

C (- 3, - 2, - 5)

and

D (3, 4, 7)

are such that

A B

and

C D

intersect at the point

P (1, 2, 3)

Q. The vector projection of a vector

3^i + 4^k

y -

axis is

Join BYJU'S Learning Program

Given the points A(−2,3,4),B(3,2,5),C(1,−1,2),&D(3,2,−4) The projection of the vector →AB on the vector →CD is

The correct option is C 17The projection of the vector →AB on the vector →CD is →AB.→CD∣∣→CD∣∣=(5i−j+k).(2i+3j−6k)|(2i+3j−6k)|=17

Given the points $A (- 2, 3, 4), B (3, 2, 5), C (1, - 1, 2), & D (3, 2, - 4)$ The projection of the vector $\to A B$ on the vector $\to C D$ is

The correct option is C $\frac{1}{7}$
The projection of the vector $\to A B$ on the vector $\to C D$ is $\frac{\to A B . \to C D}{∣ ∣ \to C D ∣ ∣} = \frac{(5 i - j + k) . (2 i + 3 j - 6 k)}{| (2 i + 3 j - 6 k) |} = \frac{1}{7}$