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Question : 33 of 160
Marks:
+1,
-0
Solution:
a=(sin‌x)+(sin‌y) b=(cos‌x)+(cos‌y) a×b=[ | | |
| sin‌x | sin‌y | 0 |
| cos‌x | cos‌y | 0 |
] =(sin‌x‌cos‌y−cos‌x‌sin‌y) a×b=‌sin(x−y) or
|a×b|=sin(x−y)≤1 ‌‌‌‌‌‌‌‌‌‌‌‌‌‌ [∵ -1 < sin x ≤ 1, ∀ x]
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