,
3(2
3 )
(1
)
− λ −
+ λ  = 0
or
λ = 1
2
Therefore
β1
r  = 3
1
ˆ
ˆ
2
2
i
j
−
  and 
2
1
3
ˆ
ˆ
ˆ – 3
2
2
i
j
k
β =
+
r
© NCERT
not to be republished
 MATHEMATICS
458
Miscellaneous Exercise on Chapter 10
1 Write down a unit vector in XY-plane, making an angle of 30° with the positive
direction of x-axis 2 Find the scalar components and magnitude of the vector joining the points
P(x1, y1, z1) and Q(x2, y2, z2)