The rectangular components of a vector are (2, 2). The corresponding rectangular components of another
vector are (1, 3 ). Find the angle between the two vectors
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V1 = 2i +2j .
V2 = 1i + √3 j .
V1 . V2 = |V1||V2| cos A (angle between two vector) .
(2i +2j)(i+ √3 j ) =2√2 ×2× cosA.
=> 2+2√3 = 4√2 cosA .
=> (1+√3)/2√2 = cosA .
=> 1/2 × 1/√2 + 1/√2 ×√3/2 = cos A .
=> cos(60 - 45)° = cos(A) .
=> cos (15°) = cos(A) .
=> A= 15° .
Hope this will help you .
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