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If |a|=2, |b|=3 and a, b are mutually pe...

If `|a|=2, |b|=3` and a, b are mutually perpendicular, then the area of the triangle whose vertices are `0, a+b, a-b` is

A

5

B

1

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Let position vectors of the poits A, B C are `0, a+b, a-b` respectively and `theta=90^@`
`:." "` Area of triangle `=1/2|(a+b)xx(a-b)|`
`=1/2|(a+b)xx(a-b)|`
`=1/2|2bxxa|`
`=|b|a|sin theta=3xx2sin 90^@=6`
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