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Question

Let r=2ˆi+2ˆj+5ˆk and A, B be the points (1,2,5) and (1,2,3) respectively. If BA×r=4ˆi+6ˆj+2λˆk then λ=

A
0.02
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B
2
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C
2
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D
20
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Solution

The correct option is D 2
We have,
r=2^i+2^j+5^k
A(1,2,5) and B(1,2,3)
Now,
BA=(1(1))^i+(2(2))^j+(5(3))^k=2^i+4^j+8^k.BA×r=^i(2016)^j(1016)+^k(48)=4^i+6^j4^k.....(1)
Also its given that BA×r=4^i+6^j+2λ^k....(2)
By comparing equations (1) and (2)
we get, λ=2
Therefore λ=2

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