Home
Class 11
PHYSICS
What is the value of (vecA + vecB) * ( v...

What is the value of `(vecA + vecB) * ( vecA xx vecB)` ?

A

0

B

`A^(2) - B^(2)`

C

`A^(2) + B^(2) + 2AB`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
1
Let `vecR= vecA + vecB and vecC= vecA xx vecB`
thus, `vecC` is `bot` to plane of `vecA and vecB and vecC bot vecR` also
`vecC*vecR= 0 rArr (vecA + vecB)*(vecA xx vecB)=0`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise EXERCISE-II AIPMT/NEET & AIIMS (2006- 2018)|6 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise EXERCISE-III CHECK YOUR UNDERSTANDING|15 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise DOT PRODUCT|20 Videos

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

What is the value of (vecA+vecB)xx(vecA-vecB) ?

Given that vecA=vecB . What is the angle between (vecA+vecB) and (vecA-vecB) ?

What is the projection of vecA on vecB ?

The angle between the vectors vecA and vecB is theta. The value of vecA(vecAxx vec B) is -

The angle between vectors (vecA xx vecB) and (vecB xx vecA) is :

What is the angle between vecA and the resultant of (vecA+vecB) and (vecA-vecB) ?

(vecA+2vecB).(2vecA-3vecB) :-

If veca and vecb are two non collinear unit vectors and iveca+vecbi=sqrt(3) then find the value of (veca-vecb).(2veca+vecb)

If vecA= 2hati+nhatj-1hatk and vecB=1hati+2hatj+3hatk , then findt the value of n so that vecA bot vecB .

The value of |vecA+vecB-vecC+vecD| can be zero if:-