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` is

If a vector 2 hat (i) + 3 hat(j) + 8 hat(k) is perpendicular to the vector - 4 hat(i) + 4 hat(j) + alpha(k) . Then the value of alpha is

If a 4hat(i)+3hat(j)+8hat(k) is perpendicular to the vector 4hat(j)-4hat(i)+mhat(k) , then the value of m is

If a vector 2 hat i + 3 hat j + 8 hat k is perpendicular to the vector 4 hat j - 4 hat i + alpha hat k , then the value of alpha is

If a vector (2hat i+3hat j+8hat k) is perpendicular to the vector -4hat i+4hat j+alphahat k ,then the value of alpha is

If a vector (hat 2i+hat 3j+hat 8k) is perpendicular to the vector (hat 4i-hat 4j+hat alpha k) ,the value of alpha is

Projection of the vector 2hat(i) + 3hat(j) + 2hat(k) on the vector hat(i) - 2hat(j) + 3hat(k) is :

The magnitude of the vector hat(i)+xhat(j)+3hat(k) is half of the magnitude of vector 4hat(i)+(4x-2)hat(j)+2hat(k) . The values of x are ?

Find the vector equation of a plane passing through the point having position vector 2 hat(i) + hat(j) + hat(k) and perpendicular to the vector : 4 hat(i) - 2 hat(j) + 3hat(k) .

If vector hat(i) - 3hat(j) + 5hat(k) and hat(i) - 3 hat(j) - a hat(k) are equal vectors, then the value of a is :

The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k) and hat(i)+2hat(j)+hat(k) are perpendicular to the vector hat(i)+hat(j)+hat(k) is are