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Binoya Chandra Shanker
Asked: 2022-11-10T09:12:06+05:30 In:

The angles with a vector `hat(i)+hat(j)+sqrt(2hat(k))` makes with X,Y and Z axes respectively are
A. `60^(@),60^(@),60^(@)`
B. `45^(@),45^(@),45^(@)`
C. `60^(@),60^(@),45^(@)`
D. `45^(@),45^(@),60^(@)`

The angles with a vector `hat(i)+hat(j)+sqrt(2hat(k))` makes with X,Y and Z axes respectively are
A. `60^(@),60^(@),60^(@)`
B. `45^(@),45^(@),45^(@)`
C. `60^(@),60^(@),45^(@)`
D. `45^(@),45^(@),60^(@)`
Parabola
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  1. Correct Answer – A

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Baalkrishan Narayan Sodhi
Asked: 2022-11-08T12:25:10+05:30 In:

The angles with a vector `hat(i)+hat(j)+sqrt(2hat(k))` makes with X,Y and Z axes respectively are
A. `60^(@),60^(@),60^(@)`
B. `45^(@), 45^(@), 45^(@)`
C. `60^(@), 60^(@),45^(@)`
D. `45^(@), 45^(@), 60^(@)`

The angles with a vector `hat(i)+hat(j)+sqrt(2hat(k))` makes with X,Y and Z axes respectively are
A. `60^(@),60^(@),60^(@)`
B. `45^(@), 45^(@), 45^(@)`
C. `60^(@), 60^(@),45^(@)`
D. `45^(@), 45^(@), 60^(@)`
Parabola
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1 Answer

  1. Correct Answer – C
    `vec(R )= hat(i)+hat(j)+sqrt(2)hat(k)`
    Comparing the given vector `vec(R )= R_(x)hat(i)+R_(y)hat(j)+R_(s)hat(k)`
    `R_(x)= 1, R_(y)= 1, sqrt(2) and |vec(R )|= sqrt(R_(x)^(2)+R_(y)^(2)+R_(z)^(2))=2`
    `cos alpha= (R_(x))/R= 1/2implies alpha= 60^(@)`
    `cos beta =(R_(y))/R= 1/2 implies beta= 60^(@)`
    `cos gamma= (R_(z))/R= 1/(sqrt(2))implies gamma= 45^(@)`

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