Let →r=(→a×→b)sinx+(→b×→c)cosy+(→c×→a) where →a,→ – InterviewSolution

1.	Let →r=(→a×→b)sinx+(→b×→c)cosy+(→c×→a) where →a,→b and →c are non zero, non coplanar vectors. If →r is orthogonal to 3→a+5→b+2→c, then the value of sec2y+cosec2x+secy⋅cosecx is:
Answer» Let $\to r = (\to a \times \to b) sin x + (\to b \times \to c) cos y + (\to c \times \to a)$ where $\to a, \to b$ and $\to c$ are non zero, non coplanar vectors. If $\to r$ is orthogonal to $3 \to a + 5 \to b + 2 \to c$ , then the value of ${sec}^{2} y + {cosec}^{2} x + sec y \cdot cosec x$ is:

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