UPSEE Solved Model Paper 5

Let components of line segment vector be a , b , c
∴ a2+b2+c2 = (63)2 (i)
Also

a

3

= −

b

2

=

c

6

= λ (say)
⇒ a = 3λ , b = - 2λ , c = 6λ
From eq (i)
9λ2+4λ2+36λ2 = (63)2
⇒ λ2+81 ⇒ λ = ± 9
since, a= 3λ < 0
as the line makes an obtuse angle with x - axis
λ = - 9
∴ Components are - 27 , 18 , - 54