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If the vectors hati-hatj, hatj+hatk and ...

If the vectors `hati-hatj, hatj+hatk and veca` form a triangle then `veca` may be

A

`-hati-hatk`

B

`hati-2hatj-hatk`

C

`2hatj+hatj+hatk`

D

`hati+hatk`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`a=[+-(hati-hatj)+-(hatj+hatk)]`
`=+-(hati+hatk),+-(hati-2hatj-hatk)`
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Explore conceptually related problems

Find the angle between the vectors : veca=3hati-2hatj+hatk and vecb=hati-2hatj-3hatk .

Find the angle between the vectors : veca=hati+hatj-hatk and vecb=hati-hatj+hatk .

Knowledge Check

  • If veca = hati - 7hatj + 7 hatk and vecb = 3hati - 2hatj +2hatk , then |veca xx vecb| is:

    A
    `7sqrt(2)`
    B
    `10sqrt(2)`
    C
    `19sqrt(2)`
    D
    `21sqrt(2)`

  • The value of lambda for which the vectors veca=2hati-3hatj+hatk and vecb=lambdahati+hatj-hatk are perpendicular, is:

    A
    1
    B
    2
    C
    3
    D
    4

  • The angle between two vectors veca = hati + hatj -hatk and vecb=hati - hatj + hatk

    A
    `cos^(-1)(1/3)`
    B
    `sin^(-1)(1/3)`
    C
    `sin^(-1)(-1/3)`
    D
    `cos^(-1)(-1/3)`

    • Similar Questions

    Explore conceptually related problems

    Find lambda , if the vector veca = hati - hatj + hatk, vecb = 3hati + hatj + 2hatk and vecc = hati + lambdahatj - 3hatk are coplanar.

    For given vectors, veca=2hati-hatj+2hatk and vecb=-hati+hatj-hatk , find the unit vector in the direction of the vector veca + vecb

    If veca=4hati-hatj+hatk and vecb= 2hati-2hatj+hatk , then find a unit vector parallel to the vector veca + vecb .

    If veca = hati + hatj+hatk, vecb = 2hati-hatj+3hatk and vecc = hati-2hatj+hatk , find a unit vector parallel to the vector 2veca - vecb + 3vecc

    Show that vectors vecA= 3hati+ hatj+ hatk and vecB= hati+ 2hatj- 5hatk are perpendicular to each other.

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