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Question

In the angle subtended by vector ˆi+ˆj with the x - axis is

A
30
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B
45
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C
60
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D
75
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Solution

The correct option is B 45
If ¯a=^i+^j;¯b=^i (x-axis)
then the angle between ¯a & ¯b is cos θ=¯a.¯b|¯a| |¯b|=(^i+^j).(^i)12+12×12=12
θ=45o

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