What is the area of the parallelogram formed using the vectors below as 2 sides of the parallelogram? a. 13 units? b. 11 units? c. 7 units? d. 14 units? e. None of these

Q: Determine the angle between the given vectors. (а) а — 3і — 2ј, b %3 2i + 2j

A: a→=3i - 2jb→=2i + 2j

Q: Q7) If -) -) -() a) Using these vectors, Draw diagrams to represent: 1) a +b 2) с - Ь 3) 3c -a b)…

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Q: The following diagram shows the parallelogram ABCD. B A D Let AB =p and AC=q. Find each of the…

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Q: In the previous question, what is the angle between the two given vectors to the nearest degree? a)…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i- 6j as…

A: Here we have to find the length of the diagonal.

Q: Find the area of triangle with the vectors p(0,1,4),0(-5,9,2) and R(7,2,8) А: 30 B: 40 С:35 D:45

A: Given: Vertices of triangle          P0,1,4O-5,9,2R7,2,8…

Q: In triangle ABC a line is drawn from A to the midpoint of BC, labelled D. Prove that vectors…

A: The solution is given by using triangle law of vectors as follows

Q: Let ā = 2 and b a) Find the area of the parallelogram formed by the two vectors.

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Q: In the adjoining figure ū and V are unit vectors. Evaluate the following and input your numerical…

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Q: Find the angle between two vectors, 6 and 8 units long, when their resultant is (a) 10 units long…

A: Given: The angle between two vectors, 6 and 8 units long

Q: If two vectors ? = 4? + 6? − 8? and ? = 6? − 8? + 4? are added together describe the characteristics…

A: If two vectors ? = 4i+ 6j- 8k and ? = 6? − 8? + 4? ar

Q: 39. For each condition, find unit vectors å and b or explain why no such vectors exist. (a) |a+헤-0…

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Q: What is the area of the parallelogram formed by the vectors v = (1,0, 1) and w = (0, 2, 2) tail to…

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Q: 4. Given a = 5 m and b= 7 m, and the angle between the vectors ā and b is 102°, determine a +b,…

A: As we know that the expression for a→+b→ a→+b→=a→2+b→2+2a→b→cosθ Where; θ is the angle between…

Q: Obthe resulting parallelogram from the following two vectors that form non-parallel sides A = 3 + 2…

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Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

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Q: Compute the dot product of the two given vectors: 27 1 3. Answer:

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Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: *to find:- angle between the vectors u & v.

Q: What is the angle between the vectors and О т/4 Ο π/3 Ο π/6 O T/2 О Зл/4 27/3

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Q: 19. What is the radius vector of the point on the terminal side of an angle in standard position if…

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Q: For what values of a and b are the vectors 4= (2a-b, -1) and v (41 3a -b) equal ? write your ans…

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Q: 2. Find the unique unit vector that bisects the angle between ī = 31 + 43 and w = 51 – 127.

A: The angle bisector is determined by the formula,

Q: Find the area of the parallelogram with vectors a = 3p+ 2q, b= 2p-qwhere \pl = 4, lq] = 3, (p, q)…

A: To find the area of the parallelogram with the vectors a=3p+2q,b=2p-q where p=4,q=3,p,q=3π4.

Q: If (a,ß.r) is a vector of magnitude 24 and having the same direction as the vector (1,-22,-2), then…

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Q: Determine the dot product a) Ā = and B = b) Á = and B c) Á = 5, ||B = 32 and the angle between the…

A: (a) Given that A→=<9,4,-5> and B→=<3,-2,7>

Q: List as many equal vectors as possible for the diagram below: A B D E с

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Q: If the two vectors are in the following figure, find an area parallelogram A=i+j-k B=2i-2j+2k

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Q: Place the vectors a, b, c, and d in order of length, from smallest to largest. Show your…

A: We have to find length of each vectors first.

Q: mine the angle between vectors M = (1

A: Here we vector M=1,2,5 and vector T=-2,-3,3

Q: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az * O…

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Q: Find the angle (in degrees) between the vectors u = and v =. Round to one decimal place.

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Q: A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west…

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Q: Consider vectors A= -51 + 2j and B = 6î – 5j. Now answer the following questions %3D

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Q: Find the angle O between the two vectors given below. 0%3(5,2)cnd v= (-6,-1). Ako drawa figure.

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Q: In the rectangular prism shown below, OA=a, OC =b and oD =c. Express each of the following vectors…

A: We have to write following side of cube in vector form on the basis of given vector.

Q: Given the vectors a=(1,2,3) and b=(1,−1,2), what is the dot product a⋅b⋅a?

A: Solution :- let a = (x1, y1, z1) and    b = (x2, y2, z2)  be any two vectors then their dot product…

Q: 4. Determine the resultant of each combination of vectors. a. 25 km/h north and 81 km/h east b. 12 N…

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Q: - Find the lengths of triangle ABC using vectors, knowing that: A (3,1), B (6,4), C (-1,3)

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

Q: For what values of b are the vectors (–88, 6, 7) and (b, b², b) orthogonal? Answer (separate with…

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Q: What is the area of the parallelogram formed using the vectors below as 2 sides of the…

A: What is the area of the parallelogram formed using the vectors t̄ and s̄ as 2 sides of the…

Q: The angle between the vectors ū = i + 2j – 4k and w = 2î + 3j + 5k is obtuse.

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Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: The dimension of the given box is 1×2×3.

Q: Which of the following pairs of vectors are perpendicular? /2 > and and and < - C. None of These…

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Q: 10î - 4ĵ +7 k̂ and B =

A: Find the dot product A∙ B and its angle of the given vectors: A = 10î - 4ĵ +7 k̂ and B = -2î +ĵ +…

Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i, V = −4j ? =

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Q: Find the magnitude of the resultant vector. (8, 10) (7, -1) [?] Round to the nearest tenth. 13

A: First find the resultant vector then take the magnitude.

Q: What is the magnitude of the Vector PQ. P=(1,11) and Q= (9,3)

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Q: Given the three vectors A, B, and D, show that A (B +D) = (A · B) + (A · D).

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Q: In the following diagram, the rectangle ACEG is divided into four congruent rectangles. F E a) List…

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.