EXPLORING CONCEPTS
Comparing Dot Products Identify the dot products that are equal. Explain your reasoning. (Assume u, v, and w are nonzero
(a)
(b)
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Chapter 11 Solutions
EBK MULTIVARIABLE CALCULUS
- Business The vector u=1225,2445 gives the numbers of hours worked by employees of a temporary work agency at two pay levels. The vector v=12.20,8.50 gives the hourly wage (in dollars) paid at each level, respectively. (a) Find the dot product uv and interpret the result in the context of the problem. (b) Identify the vector operation used to increase wages by 2arrow_forwardError Analysis Describe the error in finding the component form of the vector u that has initial point 3,4 and terminal point 6,1. The components are u1=36=9and u2=41=5. So,u=9,5.arrow_forwardWriting How could you describe vector subtraction geometrically? What is the relationship between vector subtraction and the basic vector operations of addition and scalar multiplication?arrow_forward
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- In the figure, the tip of c and the tail of d are both the midpoint of QR. Express c and d in terms of a and b.arrow_forwardWrite v as the sum of two vector components if v = i + 3j and w = 2i+j. O v = (-2i+2j) + (i + j) O v = (-i+j) + (-2i+2j) O v= (-i+2j) + (i + 2j) O v= (2i+j) + (-i + 2j) vy rain later F1 1 O Q A F2 -ő- @ 2 W S F3 -☀+ Alt # 3 E F4 D $ A LA 4 F5 R S F Q Search er do % 5 F6 T F7 6 G Y F8 & 7 H U F9 8 J F10 1 ( 9 Z X CV BN M F11 K a O @ 0arrow_forwarduse cross product or dot productarrow_forward
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