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Let hat(x), hat(y) and hat(z) be unit ve...

Let `hat(x), hat(y) and hat(z)` be unit vectors such that `hat(x)+hat(y)+hat(z)=a. hat(x)xx(hat(y)xxhat(z))=b, (hat(x)xxhat(y))xxhat(z)=c, a*hat(x)=(3)/(2), a*hat(y)=(7)/(4) and |a|=2`. Find x, y and z in terms of a, b and c.

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The correct Answer is:
`hat(x)=(1)/(3)(3a+4b+8c), hat(y)=-4c, hat(z)=(4)/(3)(c-b)`
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