PART I QL.If A = 2a, + 2a, – a, and B = 3a, + 2a, – 6a, are vectors, find (only two): %3D (a) A -B (b) ẢxB (c) Angle between A and B

Q: (11) Three vectors given: a = (1) a+b+c, (2) a.b m 21-3k, b=4i, č-5k (3) the angle between a and…

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Q: B) Determine if the two vectors are orthogonal or parallel or not? A=6i + 6k and B--2i +2j+2k

A: We have to check that the two vectors A→ and B→ are orthogonal or parallel. So, we find the angle…

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: Given vectors u and v in the diagram below, shade in all linear combinations cu + dv for (a) -1 1…

A: (a) Shade the linear combination.

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

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Q: Find the magnitude and direction angle of the given vector. 5. u = (-10, 24) 6. u = (-5, -12) %3D n…

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Q: b a

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Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

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Q: Question 2: (15 points) For the given vectors: å = (-2, –3), B = (-1,2), d = (1,3), find: (a) 2å –…

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Q: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

Q: Given vector a = 31 – 2j – yk and b= 3i- 2j + k. What is the value of y if a =b

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

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Q: Part 1 8f 4 Consider the points P(-5.2,0) and Q(-5, - 3,3). a. Find PQ and state your answer in two…

A: Find PQ vector.

Q: Which one of these vectors has magnitude 4 and makes a 210° angle with the positive x-axis? O -2/3i…

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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: .If A = 2a, + a, - 3a, and B = 4ax + 2a, – 3a, are vectors, find (a) A· B (b) Á xB (c) Angle between…

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Q: If à = 2a, + 2a,y – a, and B = 3a, + 2a, – 6a, are vectors, find (a) Ả ·Ē (b) Ả × B (c) Angle…

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Q: = 3. 6. Find the magnitude of the resultant of two vectors u and v, given = 5 and the angle between…

A: Explanation of the answer is as follows

Q: Use the diagram to the right to answer questions 5 and 6. 5. Which of the following are equal…

A: We have to check

Q: Question 1. Compute the dot product of the vectors u = (2,0, -3) and v = (1, 4, 2), and also find…

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Q: 2. Given vectors A, B, C, and D construct '2C +3(A – B + 2D)

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Q: Given the following vectors: a. Draw a + b b. Draw a - b C. Draw -3a

A: (a).             a+b…

Q: 6. Given the following vectors, Draw: a) a-b b) 2c + a c) - (c-b) a X b of

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Q: Which of the following vectors represents - 2u + v?

A: Given,

Q: 3. Find the magnitude, ||||, of each of the following vectors: a. = -51 + 12j b. = -i- j

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Q: Given the vectors, a = (4,-5) and b = -10i -8j: %3D a. Find a - 2b.

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Q: Question 2! For the given vectors: a = (-3,3), b = (1,-2), c = (1,2). (a) 2a-3b + c (b) angle…

A: The calculations for the subparts a, b, and c are given in the below steps.

Q: Given the vectors a = (−2, −5, −3) and b = (1, −4, 2), find 1.  5a − 1/3 b. 2. The length of a.

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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: Q3: Find the angle between two vectors in space A = 41 – 2J – k and B = 4T – 2J + 4k (5 marks)

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Q: Given three vectors A(6, 2, -3), B(-2, 3, 0), and C(-4, 6, 5). Find the unit vector bisecting the…

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Q: (1) Let 0 be the angle between vectors A and B, find the value of the angle 0 when |-5V3A x B = 5Ã.B

A: To find the angle θ between vectors A and B. It is given that,

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: If a- b = 30, ||a|| = 5, and the angle between the vectors a and b is 30°, what is the magnitude of…

A: Given that a→·b→=30, ||a→||=5 and angle between the vector a→ and b→ is 30°.

Q: Given vectors a = (1,2, –1), b = (2,0,-1), and c = (2,2,1): a) What is 2ä – 35 + č? b) What is the…

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Q: 2 Given the three vectors A = 2i +j, B = i+ k, and C = 4j, find the following (a) A. (B + C) and (A…

A: Given vectors: A=2i+j+0kB=i+0j+kC=0i+4j+0k

Q: For what values of ai are the vectors [a1,4,3] and [3,-2,12] are a) orthogonal? b) Parallel? c) Have…

A: This question is taken from the vector in which we have to find the value of a for the different…

Q: 2. Given vectors and with || = 8 and || = 13 and an angle of 50° between them. a) Find |ỹ - ū

A: Let us solve the given vector problem in the next step.

Q: 40. Consider the vectors Vị, V2, V3, and b in R², shown in the figure. Does the equation x¡Vj +x2V2…

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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: If A C =-8.4, A = 3i-4j, and C =6.5, the angle between the two vectors when they are drawn starting…

A: Let θ be the angle between the two vectors

Q: In adding vectors in general, we follow the rule of.. A. Parallelogram B. Sin and cos C. Phytagorean…

A: Option A

Q: Given 2D vectors a and b such that |a|= 7 and |b| = 8 find the angle between the vectors if: a) |a…

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Q: If vectors AB=(3,2), BC=(0,-4) and CD=(-3,2), i) calculate the components of AD ii) What does your…

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Q: Given the two 3-D vectors a=[-3, 4, -6] and b=[-1, 2, -1], find the dot product and angle (degrees)…

A: Consider the given 3D vectors.

Q: 5. Given two vectors a = and b=. Find (i) (a + b). (ax b) (ii)the angle between a+b and axb.

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

A: The given figure is:

Q: o -3 - 5 ↓ 2 buy on IN A 65 US

A: We have to find out the components of the addition of the two vectors, that is, w→+v→.