MAC 2313 Midterm: MAC2313 F96 Test 1

• School: FAU
• Department: Mathematics - MAC
• Course: MAC 2313
• Professor: All

Document Summary

Items 1 8 refer to the three vectors u = h 2, 3, 4i, v = h5, 2, 1i, w = h1, 0, 3i (1) (10 pts. ) Find the vector component of u in the direction of v. (3) (10 pts. ) Find a unit vector having the same direction as w. (4) (10 pts. ) Find the area of the parallelogram determined by the two vectors u and v. (5) (10 pts. ) Find the volume of the parallelepiped determined by the three vectors u, v and w. (6) (15 pts. ) If u, v and w all have their initial points at the origin, nd the general equation of the plane passing through their terminal points. (7) (15 pts. ) Find a parametric form of the line passing through the point (12, 13, 15) which is perpendicular to the plane determined by u, v and the origin. (8) (10 pts. )