Find the vector component of a vector `2hat(i)+3hat(j)+6har(k)` along and perpendicular to the non-zero vecotr `2hat(i)+hat(j)+2hat(k)`.

Find the vector component of a vector 2hat(i)+3hat(j)+6hat(k) along and perpendicular to the non-zero vector 2hat(i)+hat(j)+2hat(k) .

Unit vector along the vector hat(i) + hat(j) + hat(k) is

Find the value of m so that the vector 3hat(i)-2hat(j)+hat(k) may be perpendicular to the vector 2hat(i)+6hat(j)+mhat(k) .

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

The component of vector A= 2hat(i)+3hat(j) along the vector hat(i)+hat(j) is

The projection of the vector vec( a) = 2 hat(i) - hat(j) +hat(k) along the vector vec(b) = hat(i) + 2 hat(j)+ 2hat(k) is

Find the projection of the vector vec(P) = 2hat(i) - 3hat(j) + 6 hat(k) on the vector vec(Q) = hat(i) + 2hat(j) + 2hat(k)

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

The vector equation of the plane through the point hat(i)+2hat(j)-hat(k) and perpendicular to the line of intersection of the plane rcdot(3hat(i)-hat(j)+hat(k))=1 and rcdot(hat(i)+4hat(j)-2hat(k))=2 , is

Statement 1: A component of vector vec b=4 hat i+2 hat j+3 hat k in the direction perpendicular to the direction of vector vec a= hat i+ hat j+ hat ki s hat i- hat jdot Statement 2: A component of vector in the direction of vec a= hat i+ hat j+ hat k is 2 hat i+2 hat j+2 hat kdot