Home
Class 12
MATHS
Show that, (vec(a)-vec(b))xx(vec(a)+vec(...

Show that, `(vec(a)-vec(b))xx(vec(a)+vec(b))=2(vec(a)xx vec(b))`.

Text Solution

Verified by Experts

The correct Answer is:
`=2(vec(a)xx vec(b))`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.5|8 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 10|19 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.3|18 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

prove that (vec(a)+vec(b)).(vec(a)+vec(b))=|vec(a)|^(2)+|vec(b)|^(2) , if and only if vec(a),vec(b) are perpendicular, given vec(a) ne vec(0), vec(b) ne vec(0) .

Find |vec(a)| and |vec(b)| , if (vec(a)+vec(b)).(vec(a)-vec(b))=8 and |vec(a)|=8|vec(b)| .

For anyy two vectors vec(a) and vec(b) , show that (1+|vec(a)|^(2))(1+|vec(b)|^(2))= |(1-vec(a).vec(b))|^(2)+|vec(a)+vec(b)+(vec(a)xx vec(b))|^(2)

If (vec(a)-vec(b)).(vec(a)+vec(b))=27 and |vec(a)|=2|vec(b)| the find |vec(a)| and |vec(b)| .

If vec(a)=3hati-hatj+2hatk,vec(b)=hati-3hatk and vec( c )=hati+2hatj then find (i) vec(a).vec(b) (ii) (vec(a)+vec(b)).vec( c ) (iii) (vec(a)-vec(b)).(vec(b)-vec( c )) (iv) (vec(a)+2vec(b)).vec(b) (v) (vec(a)-3vec( c )).(2vec(a)+vec(b))

Let vec(a)=2hati+hatj-2hatk and vec(b)=hati+hatj . Let the vector vec( c ) is such that |vec( c )-vec(a)|=3,|(vec(a)xx vec(b))xx vec( c )|=3 . The angle between vec( c ) and vec(a)xx vec(b) is 30^(@) . Then vec(a).vec( c ) = ……………

The position vectors of the points A, B, C are vec(a),vec(b) and vec( c ) respectively. If the points A, B, C are collinear then prove that vec(a)xx vec(b)+vec(b)xx vec( c )+vec( c )xxvec(a)=vec(0) .

Prove that [vec(a),vec(b),vec( c )+vec(d)]=[vec(a),vec(b),vec( c )]+[vec(a),vec(b),vec(d)] .

The position vectors of four points A, B, C and D in the plane are vec(a),vec(b),vec( c ) and vec(d) . If (vec(a)-vec(d)).(vec(b)-vec( c ))=(vec(b)-vec(d)).(vec( c )-vec(a))=0 then D is a ………………is DeltaABC .