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what will be the angle between vec a and...

what will be the angle between `vec a and vec b` if there is a set of 3 vectors `vec a, vec b and vec c` such that `vec a + vec b + vec c = vec 0` and `|vec a| = 3, |vec b| = 5, |vec c|=7`

Text Solution

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Here, `veca+vecb+vecc = 0`
`=>veca+vecb = -vecc`
`=>|veca+vecb | = |-vecc|`
`=>|veca+vecb | = 7`
`=>|veca+vecb |^2 = 49`
`=>|veca|^2+|vecb|^2+2|veca||vecb|costheta = 49`
`=>3^2+5^2+2(3)(5)costheta = 49`
`=>9+25+30cos theta = 49`
...
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