Find the magnitude and direction cosines of the torque about the point `(3, 1, -2)` of a force ` 3 hat i + 2 hat j + hat k ` whose line of action passes through that ` (1, 2, -1) `

Find the direction cosines of the vector hat i+2hat j+3hat k

Find the direction cosines of the vector hat i+2hat j+3hat k.

(A ) Find the vector and cartesian equations of the line through the point (5,2,-4) and which is parallel to the vector 3 hat(i) + 2 hat(j) - 8 hat(k) . (b) Find the equation of a line passing through the point P(2, -1, 3) and perpendicular to the lines : vec(r) = (hat(i) + hat(j) - hat(k) ) + lambda (2 hat(i) - 2 hat(j) + hat(k)) and vec(r) = (2 hat(i) - hat(j) - 3 hat(k) ) + mu (hat(i) + 2 hat(j) + 2 hat(k)) .

Find the direction cosines of the following vectors: 2hat i+2hat j-hat k6hat i-2hat j-3hat k3hat i-4hat k

Find the moment about the point hat i+2hat j+3hat k of a force represented by hat i+hat j+hat k acting through the point 2hat i+3hat j+hat k

Find the direction cosines of the unit vector perpendicular to the plane vec rdot((6 hat i-3 hat j-2 hat k)+1=0 passing through the origin.

What is the moment about the point hat(i) + 2hat(j) - hat(k) of a force represented by 3 hat(i) + hat(k) acting through the point 2 hat(i) - hat(j) + 3hat(k) ?

Find the magnitude of torque of torque of a force vec F = )-3 hat i+ hat j +5 hat k) . Newton actiong at the point vec r =(7 hat j+3 hat j +hat k) metre.

Find the equation of the line in vector and in cartesian form that passes through the point with position vector 2hat i-hat j+4hat k and is in the direction hat i+2hat j-hat k

What is the moment about the point hat(i) +2hat(j)-hat(k) of a force represented by 3 hat(i) + hat(k) acting through the point 2hat(i) - hat(j)+3hat(k) ?