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Let vec(a)=2hat(i)-3hat(j)+6hat(k)andvec...

Let `vec(a)=2hat(i)-3hat(j)+6hat(k)andvec(b)=-2hat(i)+2hat(j)-hat(k),` then `("Projection of "vec(a)" on "vec(b))/("Projection of "vec(b)" on "vec(a))=`

A

`(3)/(7)`

B

`(7)/(3)`

C

-4

D

3

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If vec(a) = 2hat(i) + 3hat(j) - 6hat(k) and vec(b) = 12 hat(j) + 5 hat(k) . then (projection of vec(a) on vec(b)//("projection of b on a") )

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    `7//13`
    B
    `13//7`
    C
    `20//13`
    D
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  • If vec(a) = 2hat(i) + hat(j) + 2hat(k), vec(b) = 5hat(i) - 3hat(j) + hat(k) , then projection of vec(a) on vec(b) is

    A
    `3hat(i) - 3hat(j) + hat(k)`
    B
    `(9(5hat(i) - 3hat(j) + hat(k))/(7))`
    C
    `((5hat(i) - 3hat(j) - hat(k)))/(35)`
    D
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  • If vec(a) = 2hat(i) + hat(j) - hat(k) and vec(b) = hat(i) - hat(k) , then projection of vec(a) on vec(b) will be :

    A
    `sqrt((3)/(2))`
    B
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    C
    `(1)/(sqrt(2))`
    D
    `(3sqrt(6))/(2)`

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