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Find the direction cosines of the vector...

Find the direction cosines of the vector `2hati+2hatj-hatk`

A

`2/3,1/3,1/3`

B

`1/3,1/3,2/3`

C

`1/3,(-2)/3,2/3`

D

`2/3,2/3,(-1)/3`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The direction cosines of the vector 2hati+2hatj-hatk are

    A
    `(2)/(3),(1)/(3),(1)/(3)`
    B
    `(1)/(3),(1)/(3),(2)/(3)`
    C
    `(1)/(3),(-2)/(3),(2)/(3)`
    D
    `(2)/(3),(2)/(3),(-1)/(3)`

  • Find the direction cosines of the vector vecr=(6hati+2hatj-3hatk) .

    A
    `(6)/(7),(2)/(7),(-3)/(7)`
    B
    `(6)/(7),(2)/(7),(3)/(7)`
    C
    `(6)/(7),(-2)/(7),(-3)/(7)`
    D
    `(-6)/(7),(-2)/(7),(-3)/(7)`

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    Find the direction ratios and the direction cosines of the vector vecr= hati + hatj+hatk .

    Find the directional cosines of vector (5hati+2hatj+6hatk) . Also write the value of sum of squares of directional cosines of this vector.

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