NIMCET 2014 Question Paper with solutions

Question : 37 of 120

Marks: +1, -0

If a vector a makes an angle with the coordinate axes and has magnitude 3, then the angle between a and each of the three coordinate axes is

Solution:

We have, |a| = 3
Let α, β and γ be the angles between the given vector and coordinate axes respectively
Let a =

i↖{\^}+j↖{\^}+k↖{\^}

∴ cos α = cos β = cos γ =

1/√3

∴ α = β = γ =

cos^{-1}

(1/√3)

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