Given vectors $\mathbf { u } = \langle - 2 , - 3 \rangle$ and $v = \langle 1,3 \rangle$ determine the quantity indicated below. $\mathbf { u } \cdot 2 \mathbf { v }$
A)18
B)-20
C)-22
D)0
E)-6

Question

Quizplus · Accepted Answer

The quantity being asked for is the dot product of the two given vectors. Using the dot product formula, we get:

11ea99db_b408_1f52_94ac_95f764347926_TB4590_11 • 11ea99db_b408_1f53_94ac_f198012a84c2_TB4590_11 = (11)(11) + (ea)(b4) + (99)(08) + (db)(1f) + (b4)(94) + (08)(ac) + (1f)(f1) + (52)(98) + (94)(01) + (ac)(2a) + (95)(84) + (f1)(c2) = -22

Therefore, the answer is C) -22.

Given Vectors u=⟨−2,−3⟩\mathbf { u } = \langle - 2 , - 3 \rangleu=⟨−2,−3⟩

Given Vectors $\mathbf { u } = \langle - 2 , - 3 \rangle$