Question

If a vector P= 1 + j then the angle of the vector P with the y-axis is.
a 30°
b) 60°
c)Not possible
d)45°
correct option is d
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Answer 1

P = î + j

i.e. 1 unit along the x- axis and 1 unit along the y- axis

now, let ∆ be the angle made by the vector with the x- axis

tan∆ = y/x = 1/1

tan∆ = 1

tan∆ = tan45°

∆ = 45°

Hence, angle made by the vector P with the x- axis is 45°.

Option D is correct.