1.

Let vec(alpha)=3hat(i)+hat(j), vec(beta)=2hat(i)-hat(j)+3hat(k)and vec(beta)=vec(beta)_(1)-vec(beta)_(2), such that vec(beta)_(1) is parallel to vec(alpha) and vec(beta)_(2) is perpendicular to alpha. Find vec(beta)_(1)xx vec(beta)_(2).

Answer»

`(1)/(2)(hat(i)-9hat(J)+8hat(K))`
`(1)/(2)(hat(i)-3HAT(j)+4hat(k))`
`(1)/(2)(-3hat(i)+9hat(j)+10 hat(k))`
`(3)/(2)(3hat(i)+9hat(j)+10hat(k))`

Answer :C


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