If `vec c = 3vec a+4vec b and 2vec c =vec a -3vec b`, show that (i) `vec c and vec a` have the same direction and `|vec c| gt |vec a|`(ii) `vec b and vec c` have opposite direction and `|vec c| gt |vec b|`

Explanation

Given,

`c=3⃗a+4⃗b` and `2⃗c=⃗a−3⃗b`,

solving we get ,

`2(3a+4b)=a-3b`

`=>6a+8b=a-3b`

`=>5a=-10b`

`=>a=-2b`


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