-x²15-y²15 Consider the function F(x,y) = e and the point P(-2,2). a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a vector that points in a direction of no change in the function at P. a. The direction of steepest ascent is The direction of steepest descent is OA. (1,0) OB. (-1,-1) ⒸC. (1,-1) OD. (0,1) √2√e 4 5 2 e 200 5 √2√e 45 5 8 200 √2√e 4 5 2 e √2√e 2 e 5 +15 00 5 2e b. Which of the following vectors points in a direction of no change of the function at P(-2,2)?

Find the vector equation of the line between the points (3, -1, 2) & (1, 4, -1), then graph the line. l(t) =

Let L₁ be the line passing through the points Q₁(−1, 5, −2) and Q₂(−4, 6, −3) and let L₂ be the line passing through the point P₁(−7, 10, −6) with direction vector d=[−6, −4, 2]T. Determine whether L₁1 and L₂ intersect. If so, find the point of intersection Q.