Question: please help!!! 1) Let u = (2,-3,-2), v = (3,-2,6) and w = (2,-1,-2) . Find each of the following. (30 pts) a) wu b)

please help!!!

1) Let u = (2,-3,-2), v = (3,-2,6) and w = (2,-1,-2) . Find each of the following. (30 pts) a) wu b) a unit vector in the direction of w c) cose where O is the angle between u and v d) proj. (w) e) comp, (u) f) uxv 2) Let P(-2,3,1), Q(2,8,0), and R(6,3,-1). Use a product of vectors to find the area of the triangle with vertices P, O, and R. (8 pts)3) Find the equation of the plane in scalar Cartesian form that contains the points P(0,3,l). Q(3,0,2) andR(l,2.2]. {8 pts) 4} Find the equation of the line thnl P(2,3, 1) that is perpendicular to the plane 2xSy+z =10 in a] scalar parametric form and b) symmetric form. {8 pts) 5) Find the equation of the line of intersection ofthe planes P]: 2x+3yz=10 and P2: 4x2y+z=3. (8 pts) 6) A boat is traveling in the water at 25 mph in a direction of N35E (that is. 20 east of north). A strong current is moving at 10 mph in a direction of N30\" W.What are the new speed and direction of the boat? [6 pts)

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