A plane is at distance of 8 units from the origin and is perpendicular to the vector `2 bar i+bar j+2 bar k` then the equation of the plane is

A : The vector equation of the plane which is at a distance of 5 unit from origin and perpendicular to 2i - j + 2k is r. (2i - j + 2k) = 15 R : The vector equation of the plane which is at distance of p from origin and perpendicular to the unit vector n is r.n =p

Find unit vector parallel to the XOY-plane and perpendicular to the vector 4bar(i) - 3bar(j) + bar(k) .

A unit vector perpendicular to the vector -bar(i)+2bar(j)+2bar(k) and making equal angles with x and y- axis can be

Find the Cartesian equation of the plane passing through the point (-2,1,3) and perpendicular to the vector 3bar(i) + bar(j) + 5bar(k) .

A unit vector is coplanner with bar(i)+bar(j)+2bar(k) and bar(i)+2bar(j)+bar(k) and it is perpendicular to the vector bar(i)+bar(j)+bar(k) . Then the vector …………..

A non-zero vector bar(a) , is parallel to the line of intersection of the plane determined by the vectors bar(i), bar(i) + bar(j) and the plane determined by the vectors bar(i)- bar(j), bar(i) + bar(k) Find the angle between bar(a) and the vector bar(i)- 2bar(j) + 2bar(k)

The unit vector perpendicular to both of the vectors 2bar(i)-bar(j)+bar(k) and 3bar(i)+4bar(j)-bar(k) is.

Find unit vector perpendicular to both bar(i) + bar(j) + bar(k) and 2bar(i) + bar(j) + 3bar(k) .

Let vec a be vector parallel to line of intersection of planes P_1 and P_2 through origin. If P_1 is parallel to the vectors 2 bar j + 3 bar k and 4 bar j - 3 bar k and P_2 is parallel to bar j - bar k and 3 bar I + 3 bar j , then the angle between vec a and 2 bar i +bar j - 2 bar k is :