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The angle made by the vecotr vec(A)= hat...

The angle made by the vecotr `vec(A)= hat(i)+hat(j)` with x-axis is

A

`90^(@)`

B

`45^(@)`

C

`22.5^(@)`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(A) = A_(x) hat(i) + A_(y) hat(j) = (A cos alpha) hat(i) + (A sin alpha) hat(j)`
Since, `vec(A) = hat(i) + hat(j), cos alpha= (A_(x))/(A)= (1)/(sqrt(1^(2) + 1^(2))) = (1)/(sqrt2)`
`alpha= 45^(@)`
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