Q-17

Q-17 Mutually petpendicular vectors 'ilich have 'he original vector as their resultant (C) Arbitrary vectors which have the original vector as their resultant (D) It is not possible to resolve a vector Q-15 Angular momentum is (A' A scalar (B) A polar vector (C) An axial vector (D) None of these o Q-16 If a vector p making angles q, ß, sin: sin2ß + sin2 -17 Consider vectors F: = 5i and 7 respectively with the Y and Z axes respectively. Then o and = 3i + 4É. The magnitude of the scalar product of these vectors is (A) 20 (B) 23 (C) 50S CHAMPIONS ACADEMY w ww .champions.ac.in ID) 26 o CHAMPIONS

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T h e t w o v e c t o r s a r e g i v e n a s F_{1} = 2 i + 5 k F_{2} = 3 j + 4 k S c a l a r p r o d u c t o f t w o v e c t o r s a r e g i v e n a s = \vec{F_{1}} . \vec{F_{2}} = \vec{F_{1}} \vec{F_{2}} \cos θ = (2 i + 5 k) . (3 j + 4 k) = 20 u n i t s (b e c a u s e t h e d o t p r o d u c t o f v e c t o r s p e r p e n d i c u l a r t o e a c h o t h e r i s Z e r o a s \cos 90^{0} = 0 a n d f o r v e c t o r s m a k i n g a n g l e 0^{0} t h a n \cos 0^{0} = 1)

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