Question: (i) For any vector v, = vv-v . Then we can find the norm of m + 2n: m + 2n m + 2n) .

(i) For any vector v, = vv-v . Then we can find the norm of m + 2n: m + 2n m + 2n) . (m + 2m) = m - m+2m . n+ 2n . m + 40 - n = +4 m . " . Cos150' + 4 n 16+4-4-31-4 +4-3 =2. (ii) (m + 2n) . (-m+n) =-m . m+m .n-2n . m + 2n . n= - m -m -n+2 8 = =-16-4.V3 -(-43)+2-3=-4#0, therefore the vectors are not orthogonal

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