Find the vectors u + v, u – v, and 3u – v. (Simplify your answers completely.) 2 = (2, -9, 2), v = (0, 4, -1) %D u + v = u - v = 3u – v : %3D

Write a system of equations that is equivalent to the given vector equation. 2 -5 + - 9 ... Choose the correct answer below. O A. OB. 2x, + 3x2 - 5x1 = -4 2x1 + 3x, = 4 = 4 - 5x1 = - 4 7x1 - 9x2 = 9 7x1 - 9x2 = 9 %3D OC. 2x, + 3x, = 9 OD. 2x1 + 3x, = 4 - 5x1 - 5x1 + X2 = - 4 = - 4 7x1 - 9х2 = 4 7x1 - 9x2 = 9 %3D

Given the vectors u = and v = , perform the operations below. -6 u + 3. ū =

Determine whether the vectors AB and PQ are equal to each other.

Determine the dot product of the two vectors shown in the diagram. 5- (3,5) 4 -2 -1, (4.-2) Paragraph BIU A + Lato (Recom... v 19px ... v of

Find the unit vector in the direction of the given vector. Write your answer in (a) component form and (b) as a linear combination. 15. u = 16. u = (-3,2) 17. u = (-4, –5) 18. u = (3, –4)

Calculate the dot product of ?=(−4,−2,7,−3)and ?=(−3,1,5,8).

Find U+ V, U-V, and 4U+3V

Given vectors a = (2, 6) and b = (1, -3), find – 3a+5b. Write your answer in component form. -3a + 5b = (0 O) ?

Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and b