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If two vectors 2hat(i)+3hat(j)-hat(k) an...

If two vectors `2hat(i)+3hat(j)-hat(k)` and `-4hat(i)-6hat(j)-lambda hat(k)` are parallel to each other,then find the value of `lambda`

A

0

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Let `vecA=2hati+3hatj=hatk` and `vecB=-4hati-6hatj+lamdahatk`
`vecA` and `vecB` are parallel to each other
`(a_1)/(b_1)=(a_2)/(b_2)=(a_3)/(b_3)i.e.(2)/(-4)=(3)/(-6)=(-1)/(lamda)implieslamda=2`
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