Find the equation for the plane containing the

Question

Question 1. Consider the two vectors: x^→, y^→ ∈R³ originating from the point p₁^→ as shown below.

(a) Find the area of the parallelogram with sides x^→ and y^→ as shown.

(b) If P₁= (-1, 2, 2), find the equation of the lines containing P₁ (i) in the direction of x^→, (ii) in the direction of 9, (iii) and containing P₂ (point marked by p₂^→).

(c) Find the equation for the plane containing the parallelogram shown.