CameraIcon

SearchIcon

MyQuestionIcon

1

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

Applications of Cross Product

If the magnit...

Question

If the magnitude of vectors $\to A$ , $\to B$ and $\to C$ are 12, 5 and 13, respectively and $\to C = \to A + \to B$ , then the angle between the vectors $\to A$ and $\to B$ is

A

π / 4

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

B

π / 3

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

C

π / 2

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

D

zero

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

Open in App

Solution

The correct option is B $π / 2$
Given:
$\to C = \to A + \to B$
$\to C . \to C = (\to A + \to B) . (\to A + \to B)$
$C^{2} = A^{2} + B^{2} + 2 A B cos θ$
$13^{2} = 12^{2} + 5^{2} + 2 (12) (5) cos θ$
$cos θ = 0 \Rightarrow θ = π / 2$

Suggest Corrections

thumbs-up

1

Similar questions

Q. The magnitude of vectors

\to A, \to B

\to C

are respectively

12, 5

13

\to A + \to B = \to C

, then the angle between

\to A

\to B

Given $\to A + \to B = \to C$ and the magnitudes of vectors $\to A$ , $\to B$ and $\to C$ are respectively 12, 5 and 13 units. The angle between $\to A$ and $\to B$ is

$\to a, \to b$ and $\to c$ be three vectors having magnitudes 1, 1 and 2 respectively. If $\to a \times (\to a \times \to c) + \to b = 0$ , then the acute angle between $\to a$ and $\to c$ is

\to C = \to A + \to B

. The magnitude of

\to A, \to B

\to C

are 12, 5 and 13 units respectively. The angle between

\to A

\to B

Q. For two non zero vectors

A

B

\to A \times \to B = \to B \times \to A

then the angle between

\to A

\to B

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Applications of Cross Product

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Applications of Cross Product

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon