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Question : 30 of 160
Marks:
+1,
-0
Solution:
The given vectors are coplanar if
|| 1−2 | −2−3 | 3+1 |
| 3−2 | λ−3 | −2+1 |
| 1−2 | −6−3 | 6+1 |
|=0 || −1 | −5 | 4 |
| 1 | λ−3 | −1 |
| −1 | −9 | 7 |
|=0 −7λ+30+30−48+4λ=0 λ=4 The direction cosines of the vector
λi−2λj+k is,
‌,‌,‌ Substitute 4 for
λ ‌,‌,‌=‌,‌,‌
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