Question
The magnitude of the resultant of two vectors of magnitudes 3 units and 4 units in 5 units. What is the angle between two vectors?
Answer: Option B
:
B
The magnitude R of the resultant vector R of two vectors A and B inclined at an angle θ is given by
R2=A2+B2+2ABcosθ
cosθ=R2−A2−B22AB=(5)2−(3)2−(4)22×3×4=0
∴ θ=π2.
Hence the correct choice is (b)
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:
B
The magnitude R of the resultant vector R of two vectors A and B inclined at an angle θ is given by
R2=A2+B2+2ABcosθ
cosθ=R2−A2−B22AB=(5)2−(3)2−(4)22×3×4=0
∴ θ=π2.
Hence the correct choice is (b)
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