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If vec(A) =2hat(i)-2hat(j) and vec(B)=2h...

If `vec(A) =2hat(i)-2hat(j) and vec(B)=2hat(k)` then `vec(A).vec(B) ……`

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If vec(A)=4hat(i)+nhat(j)-2hat(k) and vec(B)=2hat(i)+3hat(j)+hat(k) , then find the value of n so that vec(A) bot vec(B)

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Knowledge Check

  • If vec(a)=hati+2hatj+hatk and vec(b)=hati-2hatj-3hatk then (vec(a)+vec(b)*(vec(a)-vec(b)) = ………..

    A
    `-2`
    B
    `-8`
    C
    8
    D
    2

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    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))

    If vec(A)=hat(i)+2hat(j)+3 hat(k), vec(B)=-hat(i)+hat(j)+4hat(k) and vec(C)=3hat(i)-3hat(j)-12 hat(k) , then find the angle between the vectors (vec(A)+vec(B)+vec(C)) and (vec(A)xxvec(B)) in degrees.

    Let vec(a)=hati+2hatj and vec(b)=2hati+hat . Is |vec(a)|=|vec(b)| ? Are the vectors vec(a) and vec(b) equal ?

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