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The projection of the vector vec(A)= hat...

The projection of the vector `vec(A)= hat(i)-2hat(j)+hat(k)` on the vector `vec(B)= 4hat(i)-4hat(j)+7hat(k)` is

A

`(sqrt9)/(6)`

B

`(19)/(9)`

C

`(9)/(19)`

D

`(sqrt6)/(19)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • What is the projection of the vector hat(i)-2 hat(j) + hat(k) on the vector 4hat(i) - 4hat(j)+ 7hat(k) ?

    A
    `(sqrt5)/(2)`
    B
    `(19)/(9)`
    C
    `(sqrt5)/(4)`
    D
    `(11)/(3)`

  • What is the projection of the vector hat(i)-2hat(j)-hat(k) on the vector 4hat(i)-4hat(j)+7hat(k) ?

    A
    `(sqrt(5))/(2)`
    B
    `(19)/(9)`
    C
    `(sqrt(5))/(4)`
    D
    `(11)/(3)`

  • The vector component of vector vec(A) = 3 hat(i) + 4 hat(j) + 5 hat(k) along vector vec(B) = hat(i) + hat(j) + hat(k) is

    A
    `2 hat (i) + 2 hat(j) + 2 hat(k)`
    B
    `3 hat (i) + 3 hat(j) + 3 hat(k)`
    C
    `4 hat (i) + 4 hat(j) + 4 hat(k)`
    D
    `5 hat (i) + 5 hat(j) + 5 hat(k)`

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    The unit vector parallel to the resultant of the vectors vec(A)= 4hat(i)+3hat(j)+6hat(k) and vec(B)= -hat(i)+3hat(j)-8hat(k) is

    The unit vector parallel to the resultant of the vectors vec(A) = hat(i) + 2 hat(j) - hat(k) and vec(B) = 2 hat(i) + 4 hat(j) - hat(k) is

    A unit vector in the dirction of resultant vector of vec(A)= -2hat(i)+3hat(j)+hat(k) and vec(B)= hat(i)+2hat(j)-4hat(k) is

    Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

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