Calculus 3 :

Section 10.4: Problem 1 [1 point: Find the cross product a x b where a = {II}, 2, 2} and b = {5, 1,3}_ \"ham: Section 10.4: Problem 2 (1 point) Find the cross product a x b where a = (5, -4, -5) and b = (-4, -5, 5). axb Find the cross product c x d where c = li + 5j - 1k and d = 0i - 1j + 0k. c xd = kSection 10.4: Problem 3 (1 point) You are looking down at a map. A vector u with u = 6 points north and a vector v with v| = 1 points northeast. The crossproduct u x v points: A) south B) northwest C) up D) down Please enter the letter of the correct answer: The magnitude lu x v =Section 10.4: Problem 4 (1 point) Think of the letter X as four vectors starting from the center and pointing outward. Label the four vectors starting from the top left and proceeding clockwise as u. v. w, z Does u x v point in or out of the page? (in/out) Does u x z point in or out of the page? (in/out) Compute u x wSection 10.4: Problem 5 (1 point) Find two unit vectors orthogonal to a = (-4, 2, 3) and b = (0, 1, -1) Enter your answer so that the first non-zero coordinate of the first vector is positive. First Vector: Second Vector:Section 10.4: Problem 6 [1 point: Find the area of the triangle with 1urenites: Q{3, 1, 1}, R[3, , 2], 3(2, 2, 2]. C] Section 10.4: Problem 7 [1 point: Find the area of the parallelogram with vertices: mama], m4, 4, 5],R(4, ,3},S{3, 1a,a}_ C] Section 10.4: Problem 8 (1 point) Find the distance the point P(-5, 3, 6) is to the line through the two points Q(0, 1, 2 ), and R(-3, -1, 5 ).Section 10.4: Problem 9 (1 point) Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(-3, -3, 3), Q(-1, 0,6), R(-4, -4, 2), S(3, -5, 5)