1.

If two vectors veca and vecb are such that |veca| = 3, |vecb| = 2 and veca.vecb = 6, find |veca+vecb| and |veca-vecb|.

Answer»

SOLUTION :`(|veca|+|vecb|)^2` = `|veca|^2 + |vecb|^2 + vec2|veca|.|vecb|`
= 9+4+12 = 25
THEREFORE `|veca+vecb|` = 5
`|veca-vecb|^2` = `(|veca|+|vecb|)^2-2|veca|.|vecb|`
= 9+4-12= 1
`IMPLIES |veca-vecb|` = 1


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