(1) a. Find the (vector) equation of the plane passing through the points (1,2,-2),
b. Find the (vector) equation of the plane containing (1,2,-1) and perpendicular to
(2) Suppose a, b, c are non zero vectors.
a. Explain why (a x b) x (a x c) is in the direction of a.
b. Show that (a x b) x (a x c ) = ( a . b x c) a.
c. Show that a x b . (b x c) x (c x a) = (a . b x c)²© BrainMass Inc. brainmass.com March 4, 2021, 5:49 pm ad1c9bdddf
A vector equation of a plane is found. Dot and Cross products are calculated. The solution is detailed.