4. For the vectors (2, 1) and = (1, 2) Find the dot product u · v, and the angle 0 between the two vectors. Express the angle in degrees and round to the nearest degree. u · v =

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discrete math

Consider the vectors , v = , and w=. Simplify the expressions on the left column and match its value on the right column. u = zu + v 2v - w w + (u + v) W zu (v - w) - U :: :: :: :: :: :: :: ::

For the vectors u = (-3,1) and v= proj, u = (-4,5), calculate proju and scalvu.

3. Below are 2 vectors in component form. Graph these vectors in standard position and then find their magnitude and direction angle. a. v= (-2,7) b. v= (-5,-1)

Find the cosine of the angle between the vectors v = 31 - 4j + 7k and w = 2i - j - 3k. 121 A. - 1036 -11 В. 2/259 121 C. 1036 11 D. 1036 11 Е. 2/259