How would you find the component form given ||V|| = 2 and V is in the direction if i + 3j
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How would you find the component form given ||V|| = 2 and V is in the direction if i + 3j

[From: ] [author: ] [Date: 12-06-14] [Hit: ]
..2 (cos 1.2490 i + sin 1.2490 j) = 0.6325 i + 1.......
Assume Theta is measured counterclockwise from x-axis to vector.

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Unit vector in the direction of i+3j is (i+3j)/√(1+3²) = (i+3j)/√10
V = 2*(i+3j)/√10 = (√10/5)i + (3√10/5)j

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direction: tan^-1 (3/1) = 1.2490...

2 (cos 1.2490 i + sin 1.2490 j) = 0.6325 i + 1.8974 j
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