If A- B - B- A- then the angle between A and B is

The correct option is A π The cross product is anti commutative, that is A⃗×B⃗= B⃗×A⃗ . . . . (1) A⃗×B⃗=B⃗×A⃗ (Given)we know that, A⃗×B⃗=ABsi ...

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

Byju's Answer

Standard XII

Physics

Multiplication with Vectors

If A× B = B...

Question

If $A \times B = B \times A$ , then the angle between $A$ and $B$ is

π

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

π / 3

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

π / 2

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

π / 4

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

Open in App

Solution

The correct option is A $π$
The cross product is anti-commutative, that is

$\to A \times \to B = - \to B \times \to A$ . . . . (1)

$\to A \times \to B = \to B \times \to A$ (Given)

we know that,

$\to A \times \to B = A B s i n θ^n$ and

$\to B \times \to A = B A s i n (2 π - θ)^n = - B A s i n θ^n$

From equation (1),

$θ = π$

The correct option is A.

Suggest Corrections

Similar questions

Q. For two non zero vectors

A

and

B

, if

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

then the angle between

\to A

and

\to B

Let the vectors a and b be such that $| a | = 3$ and $| b | = \frac{\sqrt{2}}{3}$ , then $a \times b$ is a unit vector, if the angle between a and b is

a) $\frac{π}{6}$

b) $\frac{π}{4}$

c) $\frac{π}{3}$

d) $\frac{π}{2}$

Q. If

a, b, c

are the sides opposite to angles

A, B, C

of a triangle

A B C,

respectively and

∠ A = \frac{π}{3}, b : c = \sqrt{3} + 1 : 2,

then the value of

∠ B - ∠ C

Let the vectors and be such that and, then is a unit vector, if the angle between and is

(A) (B) (C) (D)

Q. If angle between

\to a

and

\to b

\frac{π}{3}

, then angle between

2 \to a

and

- 3 \to b

Join BYJU'S Learning Program

If A×B=B×A, then the angle between A and B is

The correct option is A πThe cross product is anti-commutative, that is→A×→B=−→B×→A. . . . (1)→A×→B=→B×→A (Given)we know that,→A×→B=ABsinθ^n and→B×→A=BAsin(2π−θ)^n=−BAsinθ^nFrom equation (1), θ=πThe correct option is A.

If $A \times B = B \times A$ , then the angle between $A$ and $B$ is