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If vec(P) + vec(Q) = vec(R) and vec(P) -...

If `vec(P) + vec(Q) = vec(R)` and `vec(P) - vec(Q) = vec(S)`, then `R^(2) + S^(2)` is equal to

A

`P^(2) + Q^(2)`

B

`2(P^(2) -Q^(2))`

C

`2(P^(2) + Q^(2))`

D

4 PQ

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The correct Answer is:
C
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AAKASH SERIES-MOTION IN A PLANE -Exercise -II
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  2. If the sum of two unit vectors is also a vector of unit magnitude, the...

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  3. If vec(P) + vec(Q) = vec(R) and vec(P) - vec(Q) = vec(S), then R^(2) +...

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  4. vec(P), vec(Q), vec(R), vec(S) are vector of equal magnitude. If vec(P...

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  5. The greater and least resultant of two forces are 7 N and 3 N respecti...

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  6. Two forces are such that the sum of their magnitudes is 18 N, the resu...

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  7. Figure shows three vectors vec(a), vec(b) and vec(c), where R is the m...

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  8. In an equilateral triangle ABC, AL, BM and CN are medians. Forces alon...

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  9. The resultant of two vectors vec(P) and vec(Q) is vec(R). If the magni...

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  10. If .O. is at equilibrium then the values of the tension T(1) and T(2) ...

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  11. A body of mass sqrt(3) kg is suspended by a string to a rigid support....

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  12. Two light strings of length 4 cm and 3 cm are tied to a bob of weight ...

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  13. A body is hanging from a horizontal branch of a tree. The tension in t...

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  14. If .P. is in equilibrium then T(1)//T(2) is

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  15. The position vector of a moving particle at .t. sec is given by vec(r)...

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  16. If bar(u) = 2bar(i) - 2bar(j) + 3bar(k) and the final velocity is bar(...

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  17. A body starts with a velocity (2hat(i) + 3hat(j) + 11 k)m//s and moves...

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  18. A train moving at a constant velocity of 54 km/hr moves east wards for...

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  19. A particle starts from the origin at t = 0 s with a velocity of 10.0 h...

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  20. A train of 150 metre length is going towards north direction at a spee...

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