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A vector equally inclined to the vectors...

A vector equally inclined to the vectors `hat(i)-hat(j)+hat(k) and hat(i)+hat(j)-hat(k)` then the plane containing them is

A

`(hat(i)+hat(j)-hat(k))/(sqrt(3))`

B

`hat(j)-hat(k)`

C

`2hat(i)`

D

`hat(i)`

Text Solution

Verified by Experts

The correct Answer is:
(c, d)
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Knowledge Check

  • What is the vector equally inclined to the vectors hat(i)+3hat(j) and 3hat(i)+hat(j) ?

    A
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    B
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    C
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    D
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  • What is the vector equally inclined to the vectors hat(i)+ 3hat(j) and 3 hat(i) + hat(j) ?

    A
    a) hat(i) + hat(j)`
    B
    b) 2 hat(i)- hat(j)`
    C
    c) 2 hat(i) + hat(j)`
    D
    d) none of these

  • A vector(d) is equally inclined to three vectors a=hat(i)-hat(j)+hat(k), b=2hat(i)+hat(j) and c=3hat(j)-2hat(k) . Let x, y, z be three vectors in the plane a, b:b, c:c, a respectively, then

    A
    `x*d=14`
    B
    `y*d=3`
    C
    `z*d=0`
    D
    `r*d=0,` where `r=lambdax+muy+deltaz`

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