A street vendor sells a hamburgers, b hot dogs, and c soft drinks on a given day. He charges $2 for a hamburger, $1.50 for a hot dog, and $1 for a soft drink. If A = ⟨a, b, c⟩ and P is a vector representing their respective prices, what is the meaning of the dot product A · P?

Q: Find the coordinate vector |x relative to the given base B={b, ,b2} -3 5

A: To the coordinate vector xβ=x1x2 such that…

Q: Find the sum of the given vectors. а - (4, 0, 1), ь - (0, 5, 0) a + b Illustrate geometrically. a +b…

A: Given  The vectors  are  a =(4 ,0 ,1)  and  b= ( 0 , 5 , 0)

Q: What is the component form of the vector represented by 2a when a (-23)7

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Q: Represent the vector with respect to each of the two bases { ] y = B = B2 =

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =…

Q: Write each combination of vectors as a single vector. A B D C (а) АВ + ВС BD (b) CD + DB АС (c) DB…

A: Given combination of vector

Q: Find the component form of the given vector. y 6 4 3 1 3 4 6.

A: The x coordinate of the point is 5

Q: In Problem ,use the vectors in the figure at the right to graph each of the following vectors. u - v

A: Given :                     graph the vector :  u - v

Q: 2 Describe each of the translations shown using column vectors. a d e 3 Using the vectors in…

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Q: Find the dot product of each pair of the given vectors. -6 2 1 V3 2 8 7 v1 V2 3 V2 V3 II

A: Given vector is: v1=46-28v2=-21-10v3=-4-627  To find the value of the dot product of the given…

Q: Sketch a graph of each vector. 11) b=(-2V2,-1) 12) RS where R= (-6, 1) S= (-8,-10)

A: Solution (11.)

Q: 4. Identify the component form of the vector that maps AABC to its image AA'B'C' A. B. 2 C. D.…

A: Given graphs  1) vector that maps  triangle ABC has vertices A(3,-1),B(7,-3),C(1,-6) to its image…

Q: Find the component form of the given vector. v = y 51 4 X -6 5 -4 2.

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Q: Find the magnitude of the given vector. (-3, 6, 2)

A: Given,            The vector is <-3,6,2>.To find : The magnitude of the given vector.We know…

Q: Write the given vector in terms of i and j. u- (0, -9)

A: given vectoru=(0,-9)

Q: An electronics company has two production facilities, A and B. During an average week, facility A…

A: Solution is below

Q: 4. ABCD is a parallelogram, and E is the intersection point of the diagonals AC and BD. Name a…

A: It is given that, ABCD is a parallelogram and E is the point of intersection of diagonals. To find:…

Q: Determine the dot products of the following pairs of vectors. (a) (2, 4), (3, -4) (b) (3, –2, 5),…

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Q: find the magnitude and direction of following vector products: a. A(1,3) X B (3,1) b. A(1,1,1) X…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

Q: Find the dot product of each pair of the given vectors. 1 4 -4 1 16

A: Given vectors areV1=51-1,V2=-141,V3=4-416we have to find V1.V2,V2.V3 and V2.V3

Q: Let i = 31 – k, v = -ỉ - 3+ 2k. he discotion-cf (b) Calculate the dot product of ū and o. (c) Find…

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Q: Find the dot product of the given vectors ü=, ö=

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Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: Match the vectors p, q, r, 8, and t with one of the combinations of the i and vectors from the…

A: We have to match

Q: Find the magnitude of each of the following vectors.     (-7,0)

A: We have to find the magnitude of the vector: -7, 0 We know that if we have vector represented as a,…

Q: га- Find an equation that describes all values of a, b, and c for which the vector w = |b| is NOT a…

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Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

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Q: Find a vector equation of the line that passes through A(5,-4) and B(1,-1)

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the unknown entries in the vector equation. 4 4 + 3 a 7 a = b =

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Q: Match the vectors p,7,ï, 3, and t with one of the combinations of the i and i vectors from the…

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Q: Find the magnitude and direction of the following vector products: (а) А(1, 3) х в(3, 1) (b) А(-1,2)…

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Q: 4. Identify the component form of the vector that maps AABC to its image AA'B'C' A . 2 B. C. 2 A4…

A: Observe the given figure to identify the coordinates of both A, B, C and A', B', C'. x coordinate…

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: To determine the value of b for which the below vectors are orthogonal. −27,b,2, b,b2,b

Q: Find a vector and unit vector perpendicular to each of the vector à + B and à – B , where à = ai +…

A: We have A→=ai+4j+bk  and B→=6k+i+2j Here a=0 and b=5 So, we have  A→=0i+4j+5k  and B→=i+2j+6k Now,…

Q: If A is a vector representing 50 km/h northeast, what is A ? c. 30 km/h northwest a. 30 km/h…

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Q: Which vector is the result of a + b?

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Q: Write the vector v in the form a i+bj,

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Q: and the magnitude of the given vector. (-4, 4, 7)

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Q: Find a vector equation of the line r through D4 and perpendicular to the line s through F4 and B1.…

A: Given,D4→ = 1i ^ + 2j^ + 3k^Equation of line passing through D4→ is:x-1a= y-2b=z-3cThe above line is…

Q: Express each vector in terms of i, j, and k. a) [5, 6, -4] b) [0, –8, 7]

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Q: Find the unknown entries in the vector equation. -3 b + 3 a 5 8 a = b =

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Q: If two vectors have the same magnitude, then they are equal.

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Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

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Q: (d) Explain why each vector VER can be expressed in precisely one way as v u+w, where u ES and w ES.

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Q: A mouse is trapped in a maze. To find his way out, he walks 15 m east, makes a 90° left turn, walks…

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.