Question

6. Find the sinë of the angle between the vectors
by
À = 3-4 j + 5k and B = î - î + k cap ​

Answer 1

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Vectors can be express in both traditional and cartition form. When vector are in traditional form (A=|8|,60°) then we solve it using 2-step resultant formula. However if they are in Cartition form, the angle between then the fastest method to solve it is by using scalar or dot product where cosø=(A.B)/|AB|.

NOTE:- For solving angles in Cartition form of vectors then vector product or the cross product should never be used. This is because the value of sinØ found by using the formula sinø=(A X B)/AB is mathematical found to be incorrect. Thus dot product must be used.