If a vector `2hat(i)+3hat(j)+8hat(k)` is perpendicular to the vector `4hat(j)-4hat(i)+alpha hat(k)`. Then the value of `alpha` isA. -1B. `1/2`C. `-1/2`D. 1

If a vector `2hat(i)+3hat(j)+8hat(k)` is perpendicular to the vector `

1.	If a vector `2hat(i)+3hat(j)+8hat(k)` is perpendicular to the vector `4hat(j)-4hat(i)+alpha hat(k)`. Then the value of `alpha` isA. -1B. `1/2`C. `-1/2`D. 1
Answer» Correct Answer - C We are given `vec(a)= 2hat(i)+3hat(j)+8hat(k), vec(b)= 4hat(j)-4hat(i)+alpha hat(k)` According to the above hypothesis, If `vec(a)_\|_ vec(b)`, then dot product of Vector should be zero `vec(a).vec(b)=0` `implies (2hat(i)+3hat(j)+8hat(k))(-4hat(i)+4hat(j)+alpha hat(k))=0` `implies -8+12+8 alpha=0implies 8 alpha = -4` `:. alpha= -4/8= -1/2`

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If a vector `2hat(i)+3hat(j)+8hat(k)` is perpendicular to the vector `4hat(j)-4hat(i)+alpha hat(k)`. Then the value of `alpha` isA. -1B. `1/2`C. `-1/2`D. 1

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