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The angle between the lines bar(r) = (2h...

The angle between the lines `bar(r) = (2hati - 5hatj + hatk) + lamda(3hati + 2hatj + 6 hatk ) "and" bar(r) = (7hati - 6hatk) + mu(hati + 2hatj + 2hatk)` is

A

`(|(bar(a_(2)) - bar(a_(1))).(bar(b_(1))xx barb_(2))|)/(|barb_(1) xx barb_(2)|)`

B

`(|(bar(a_(2)) - bar(b_(1))).(bar(a_(2))xx barb_(2))|)/(|barb_(1) xx barb_(2)|)`

C

`(|(bar(a_(2)) - bar(b_(2))).(bar(a_(1))xx barb_(1))|)/(|barb_(1) xx barb_(2)|)`

D

`(|(bar(a_(1)) - bar(b_(2))).(bar(b_(1))xx bara_(2))|)/(|barb_(1) xx barb_(2)|)`

Text Solution

Verified by Experts

The correct Answer is:
`cos^(-1)(19)/(21)`
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