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