TS EAMCET 4 May 2018 Shift 1 Solved Paper

Let the required vector be,
a

^

i

+b

^

j

+c

^

k

The above vector is parallel to 2

^

i

−2

^

j

−4

^

k

.
Therefore,

a

2

=

b

−2

=

c

−4

=k
And is coplanar with the vectors

^

i

+

^

j

and

^

j

+

^

k

.Therefore,
|

1	1	0
0	1	1
a	b	c

|=0
1(c−b)−1(a)=0
a−b+c=0
The only option that satisfies the above condition is

^

i

−

^

j

−2

^

k

.