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If vectors a and b are non-collinear, th...

If vectors a and b are non-collinear, then `(a)/(|a|)+(b)/(|b|)` is

A

a unit vector

B

in the plane of a and b

C

equally inclined to a and b

D

perpendicular to `atimesb`

Text Solution

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The correct Answer is:
B, C, D
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Knowledge Check

  • Let alpha = (lambda-2) a + b and beta =(4lambda -2)a + 3b be two given vectors where vectors a and b are non-collinear. The value of lambda for which vectors alpha and beta are collinear, is.

    A
    4
    B
    `-3`
    C
    3
    D
    `-4`

  • If a and b are two non-collinear vectors shuch that |a| = 3,|b| = 4 and a - b= hati +2hatj + 3hatk , then the value of {(a)/(|a|^(2))-b/|b|^(2)}^2

    A
    `1/24`
    B
    `5/72`
    C
    `7/72`
    D
    `7/48`

  • a and b are two non-zero vectors, then ( a + b), (a-b) is equal to

    A
    `a + b`
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    `(a-b)^(2)`
    C
    `(a + b)^(2)`
    D
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