Let vec(a)=(1, -2, 3) and vec(b)=(3, 1, 2) be two vectors and vec(c)be a vector of length l and parallel to (vec(a)+vec(b)). What is vec(c) equal to ?

Let vec(a)=(1, -2, 3) and vec(b)=(3, 1, 2) be two vectors and vec(c)be

1.	Let vec(a)=(1, -2, 3) and vec(b)=(3, 1, 2) be two vectors and vec(c)be a vector of length l and parallel to (vec(a)+vec(b)). What is vec(c) equal to ?
Answer» `(1)/(sqrt(4))(-2,-3,1)` `(1)/(sqrt(2))(1,0,1)` `(1)/(sqrt(42))(-5,-4,1)` None of these Solution :Given `vec(a)=vec(i)-2hat(J)+3hat(K)` and `vec(b)=3hat(i)+HAT(j)+2hat(k)` `:.vec(a)+vec(b)=4hat(i)-j+5hat(k)` Then, `vec(c)=lambda(vec(a)+vec(b))` `=lambda(4hat(i)-hat(j)+5hat(k))` `rArr L=sqrt(16lambda^(2)+lambda^(2)+25lambda^(2))` `l=sqrt(42)lambda` `lambda=(l)/(sqrt(42))` `:. vec(c)=(l)/(sqrt(42))(4hat(i)-hat(j)+5hat(k))=(1)/(sqrt(42))(4, -1, 5)`

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Let vec(a)=(1, -2, 3) and vec(b)=(3, 1, 2) be two vectors and vec(c)be a vector of length l and parallel to (vec(a)+vec(b)). What is vec(c) equal to ?

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