For each statement, determine whether it true or false, and justify your answer. a) In R³ if two lines are not parallel, they must intersect at a point. b) For u, v, w in R", if u +w=+w then u = v. c) There are no vectors u and 7 in R" such that ||ū|| = 1, ||v|| = 3, and ū - v = 6.

5a) Which of the following vectors are unit vectors? Justify your answers. √√3 a-[-243 b) Are these vectors are perpendicular? Justify your answer.

If the vectors in the figure satisfy |u| = |v| = 1 and u+v+ w = 0, what is ❘w|? |W| = u W

2. The area of the triangle whose adjacent sides are the vectors u and v is a) Ju · v| c) lu x 미 la x끼른 (q la.미를 (P