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Question : 16 of 90
Marks:
+1,
-0
Solution:
Let
=λ1+λ2, where
λ1,λ2∈R =(λ1+2λ2)+(λ1−3λ2)+(2λ1+λ2)∵ Projection of
on
is
‌∴‌| λ1+2λ2−λ1+3λ2+2λ1+λ2 |
| √3 |
=‌∴λ1+3λ2=1... (i)
and
⋅=7⇒λ1−3λ2=7... (ii)
from equation (i) and (ii)
λ1=4,λ2=−1∴=2+7+7∴⋅(+)=2+7=9
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