Question

Two vectors P and Q have magnitudes 3 units and 4 units respectively. Ř is the
resultant of P and Q. Find the magnitude and direction of Ř when the angle theta
between P and Q is 30°.​

Answer 1

Answer:

The magnitude of the resultant is given as,

R

2

=P

2

+Q

2

+2PQcosθ

R

2

=(3)

2

+(4)

2

+2×3×4cos30

∘

R=6.766units

Let the angle between the resultant and P is α.

The direction of resultant is given as,

tanα=

P+Qcosθ

Qsinθ

tanα=

4+3cos30

∘

4×sin30

∘

α=16.86

∘

Thus, the magnitude and direction of resultant is 6.766units and 16.86

∘

respectively.

Step-by-step explanation:

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