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20 votes
A vector

of magnitude 5 units and another vector ū of magnitude 3 units point in directions
differing by 60°. Find out (a) the scalar product of the two vectors and (b) the vector product of the two vectors​

User Vilarix
by
8.6k points

1 Answer

4 votes

Answer:

7.5 units

13 units

Step-by-step explanation:


|v|=5\ \text{units}


|u|=3\ \text{units}


\theta = Angle between the vectors =
60^(\circ)

Scalar product is given by


u\cdot v=|u||v|\cos\theta\\ =3\cdot 5\cdot \cos60^(\circ)\\ =7.5\ \text{units}

The scalar product of the vectors is 7.5 units.

Vector product is given by


u* v=|u||v|\sin\theta\\ =3* 5\sin60^(\circ)\\ =13\ \text{units}

The vector product of the vectors is 13 units.

User Yehosef
by
7.6k points
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