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The unit vector parallel to the resultan...

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

A

`1/7(3hati + 6hatj - 2hatk)`

B

`1/7(3hati + 6hatj + 2hatk)`

C

`1/49(3hati + 6hatj - 2hatk)`

D

`1/49(3hati - 6hatj + 2hatk)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

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

    A
    `(1)/(7)(3hat(i) + hat(j) - 2hat(k))`
    B
    `(1)/(7)(3hat(i) + 6hat(j) + 2hat(k))`
    C
    `(1)/(49)(3hat(i) + 6hat(j) - 2hat(k))`
    D
    `(1)/(49)(3hat(i) - 6hat(j) + 2hat(k))`

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

    A
    `(1)/(7) (3 hat(i) + 6hat(j) - 2hat(k))`
    B
    `(1)/(2) (3hat(i) + 6hat(j) + 2hat(k))`
    C
    `(1)/(49) (3 hat(i) + 6hat(j) - 2hat(k))`
    D
    `(1)/(49) (3hat(i) - 6hat(j) + 2hat(k))`

  • A unit vector parallel to the sum of the vectors 2i + 4j - 5k, i + 2j + 3k are

    A
    `(+- (3i+6j-2k))/(7)`
    B
    `(+-(3i-6j-2k))/(7)`
    C
    `(+-(3i+6j+2k))/(7)`
    D
    `(+-(3i-6j-2k))/(7)`

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    A unit vector perpendicular to each of the vector 3i+2j+4k and 2i+j-k is,

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