Q. 55.0( 1 Vote )
Find the value of λ when the projection of 
on 
is 4 units.
Answer :
projection of a on b is given by:
|
| = (22 + 62 + 32)1/2
⇒|
| = (4 + 36 + 9)1/2 = (49)1/2 = 7
a unit vector in the direction of the sum of the vectors is given by:
Now it is given that:
⇒
⇒2 λ + 6 + (3×4) = 28
⇒ λ = (28 - 12 - 6)/2
⇒ λ = 10/2 = 5
Ans: λ = 5
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