For two non zero vectors A and B- if A - B - B - A then the angle between A and B is A- -2B- -3C- -D- -4

The correct option is C πWe know that A×B = (B×A) But if the angle between A and B is integer multiple of π. Then A× nbsp;B× = nbsp;B nbsp;× nbsp;A = ...

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

Byju's Answer

Standard XII

Physics

Multiplication with Vectors

For two non z...

Question

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 $\to B$ is

\frac{π}{2}

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

\frac{π}{3}

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

π

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

\frac{π}{4}

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

Open in App

Solution

The correct option is C $π$
We know that $\to A \times \to B = - (\to B \times \to A)$
But if the angle between $\to A$ and $\to B$ is integer multiple of $π$ .
Then $\to A \times \to B \times = \to B \times \to A = 0.$

Suggest Corrections

Similar questions

Q. If

\to A

and

\to B

are two non-zero vectors and

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

then the angle between

\to A

and

\to B

Q. If a,b,c are non-coplanar unit vectors such that

a \times (b \times c) = \frac{b + c}{\sqrt{2}}

, then the angle between a and b is

Q. Let a and b be two unit vectors. If the vectors c=a+2b and d=5a-4b are perpendicular to each other, then the angle between a and b is

If a >b >c >0, then $c o t^{- 1} \frac{1 + a b}{a - b} + c o t^{- 1} \frac{1 + b c}{b - c} + c o t^{- 1} \frac{1 + c a}{c - a} =$

\to a

and

\to b

are non-zero non-collinear vectors such that |

\to a

|=2,

\to a . \to b

=1 and angle between

\to a

and

\to b

\frac{π}{3}

. If

\to r

any vector satisfying

\to r

\to a = 2, \to r . \to b

= 8,

(\to r + 2 \to a - 10) . (\to a \times \to b)

= 6 and is equal to

\to r + 2 \to a - 10 \to b = | (\to a \times \to b) |

= then I=

Join BYJU'S Learning Program

For two non zero vectors A and B, if →A×→B=→B×→A then the angle between →A and →B is

The correct option is C πWe know that →A×→B=−(→B×→A) But if the angle between →A and →B is integer multiple of π. Then →A×→B×=→B×→A=0.

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 $\to B$ is

The correct option is C $π$
We know that $\to A \times \to B = - (\to B \times \to A)$
But if the angle between $\to A$ and $\to B$ is integer multiple of $π$ .
Then $\to A \times \to B \times = \to B \times \to A = 0.$