MyQuestionIcon

11

You visited us 11 times! Enjoying our articles? Unlock Full Access!

Multiplication with Vectors

Three vectors...

Question

Three vectors satisfy the relation $\to A . \to B = 0$ and $\to A . \to C = 0$ , then $\to A$ is parallel to:

A

\to C

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

B

\to B

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

C

\to B \times \to C

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

D

\to B . \to C

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

Open in App

Solution

The correct option is C $\to B \times \to C$
Using : $\to A \times (\to B \times \to C) = \to B (\to A . \to C) - \to C (\to A . \to B)$
Given : $\to A . \to C = 0$ and $\to A . \to B = 0$
$∴$ $\to A \times (\to B \times \to C) = \to B (0) - \to C (0) = 0$
Thus, $\to A$ is parallel to $(\to B \times \to C)$ .

Suggest Corrections

thumbs-up

0

Similar questions

Q. Three vectors

\to A, \to B, \to C

satisfy the relation

\to A . \to B = 0

\to A . \to C = 0

\to A

Q. If three vectors satisfy the relation

\to A . \to B = 0

\to A . \to C = 0

\to A

can be parallel to

Q. Three non-zero vectors

\to A, \to B

\to C

satisfy the relation

\to A . \to B = 0

\to A . \to C = 0

\to A

can be parallel to

Q. Three non-zero vectors

\to A, \to B

\to C

satisfy the relation

\to A . \to B = 0

\to A . \to C = 0

\to A

can be parallel to

Nonzero vectors $\to a, \to b, \to c$ satisfy $\to a . \to b = 0, (\to b - \to a) . (\to b + \to c) = 0 a n d 2 | \to b + \to c | = | \to b - \to a |$ . If $\to a = μ \to b + 4 \to c t h e n μ =$ ___

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Basic Operations

PHYSICS

Watch in App

explore_more_icon

Explore more

Multiplication with Vectors

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon