= Homework: Section Question 1, 12.3.1 K 12.3 Part 1 of 6 Find the following for the vectors u = 7i - 10j + 12 k and v= - 7i + 10j - 12 k. a. v . u, v|, and u b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector projyuFind the angle between the vectors u = 6i + 2] and v = 5i + 2] 3k. The angle between the vectors is 6 z D radians. (Round to the nearest hundredth.) Find the angle between the vectors u = 12i - 5j and v = 12i + j -2k. The angle between the vectors is 0 ~ radians. (Do not round until the final answer. Then round to the nearest hundredth as needed.)Find the measures of the angles of the triangle whose vertices are A = ( - 3,0), B = (3,2), and C = (1, - 2). The measure of AABC is D". (Round to the nearest thousandth.) A gun with a muzzle velocity of 1220 ft / sec is fired at an angle of 14 above the horizontal. Find the horizontal and vertical components of the velocity. . . . . . The horizontal component of the velocity is ft / sec. (Round to the nearest integer.)Suppose that a box is being towed up an inclined plane as shown in the gure. Find the force w needed to make the component of the force parallel to the w inclined plane equal to 2.2 lb. The force w is about |:| lb. (Round to the nearest hundredth as needed.) If u, and u2 are orthogonal unit vectors, and v = au, + bu2, find v . uj. . . . . . v . uShow that v = ai + bj is perpendicular to the line ax + by = c by establishing that the slope of the vector v is the negative reciprocal of the slope of the given line. Determine the slope of the vector v = ai + bj. The slope of the vector is D