Page No 477:
Question 6:
Find the Cartesian equation of the line which passes through the point
(−2, 4, −5) and parallel to the line given by
Page No 478:
Question 16:
Find the shortest distance between the lines whose vector equations are
Page No 493:
Question 9:
Find the equation of the plane through the intersection of the planes and and the point (2, 2, 1)
Page No 493:
Question 10:
Find the vector equation of the plane passing through the intersection of the planes and through the point (2, 1, 3)
Page No 493:
Question 11:
Find the equation of the plane through the line of intersection of the planes and which is perpendicular to the plane
Page No 498:
Question 7:
Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane
Page No 498:
Question 8:
Find the equation of the plane passing through (a, b, c) and parallel to the plane
Page No 498:
Question 10:
Find the coordinates of the point where the line through (5, 1, 6) and
(3, 4, 1) crosses the YZ-plane
Page No 498:
Question 17:
Find the equation of the plane which contains the line of intersection of the planes , and which is perpendicular to the plane
Page No 499:
Question 20:
Find the vector equation of the line passing through the point (1, 2, − 4) and perpendicular to the two lines:
Page No 499:
Question 21:
Prove that if a plane has the intercepts a, b, c and is at a distance of P units from the origin, then