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Compute the magnitude of the following v...

Compute the magnitude of the following vectors
`vec(a)=hat(i)+hat(j)+hat(k),vec(b)=2hat(i)-7hat(j)-3hat(k)`
and `vec(c)=(1)/(sqrt(3))hat(i)+(1)/(sqrt(3))hat(j)-(1)/(sqrt(3))hat(k)`.

Text Solution

Verified by Experts

The correct Answer is:
`|vec(a)|=sqrt(3),|vec(b)|=sqrt(62),|vec(c)|=1`
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Show that the vectors vec(a) = hat(i) - 2hat(j) + 3hat(k), vec(b) = -2hat(i) + 3hat(j) - 4hat(k) and vec(c) = hat(i) - 3hat(j) + 5hat(k) are coplanar.