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If |vec A|=2 and | vec B| =4 , then mat...

If ` |vec A|=2 and | vec B| =4` , then match the relations in colum I with theange ` theta` between `vec A and vec B` in column II.
Column I , Column II
(a) ` vec A.vec B=0` , (i) ` theta` =0`
(b) ` vec A . Vec B= + 8` , (ii) ` theta =90^@`
(c ) ` vec A .vec B =4` , (iii) ` theta =180^@`
(d) ` vec A .vec B =- 8` , (iv) ` theta =60^@`.

Text Solution

Verified by Experts

(a) `vecA.vecB =AB cos theta=0`
`=2xx4 cos theta =0`
or `cos theta =0`
`rArr theta =90^(@)`
`(a) rarr (ii)`
(b) `vecA.vecB=2xx4 cos theta =8`
`rArr cos =1`
`rArr =0^(@)`
(b) `rarr (i) `
`rArr cos theta =1//2`
`rArr theta =60^(@)`
(c) `rarr (iv)`
(d) `vec A.vecB=2xx4 cos theta =-8`
`rArr cos theta =-0`
or `theta =180^(@)`
(d) `rarr (iii)`
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