RRB Paramedical Staff Nurse Model Paper 6

Question : 93 of 100

Marks: +1, -0

The resultant of two vectors A and B subtends an angle of 45° with either of them. The magnitude of the resultant is

Solution:

As shown in figure, the angle θ between vectors A and B is 90°
Also A = B. Therefore, the magnitude of the resultant is given by

R^2=A^2+B^2+2AB\cosθ

=A^{2}+A^{2}+2 A^{2} \cos 90^{∘}

=2 A^{2}

R√{2}A

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