100. The magnitude of v = (a, b, c) is given by ||v|| = Va + b² + c?. Find the magnitude of each vector. a. v = (-8, 2, 12) b. w = 3i – 9j + 12k

Q: The vectors u-(2,-1,1) and v= (1,1,2) in R3, the angle e between u and v is

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Q: Find the value of aa in the vector →v=⟨a,b⟩v→=⟨a,b⟩ if b=15 and ||→v||=39|| v→ is in Quadrant I a=

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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: 10. Let v = [1, 1] and w = [2, 1] be two vectors: find the project of v into w d bu [1 11. 11. 1, 2,…

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Q: Find the angle between the vectors v and w in each of the following: (a) v= (4,1)T, w=(3,2)T (b)…

A: topic - angle between vectors

Q: a) Find the vector that is parallel to the tanget to the circle x2 +y? = 100 at the point (3,4).

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Q: Which vector has an x-component with a length of 4? -5 A. C B. b C. d O D. a PREVIOUS 19 10

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Q: For what value of m, the vector 4i + 2j – 3k and mi - j+ 3k have same magnitude? Given the points A…

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Q: 5. D The angle between two vectors a and b is -, Given that /a/ = 3 and /b/ = 4. find (a) /2a + 3b/…

A: Vectors

Q: B. For vectors u = and v = Find 1. 4u – 2v 2. A vector of length 20 in opposite direction of 4u – 2v

A: For the vectors u = ( 2, 0, -3 ) and v = ( 0, 1, -2 ) we need to answer the following questions.

Q: 33. If 0 is the angle between two nonzero vectors v and w, and v· w < 0, what is the range of 0?…

A: Use the geometric definition of the dot product to calculate the angle between two non        zero…

Q: 14. Draw the vector V that goes from the origin to the given point. Then write V in component form…

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Q: The angle between the vectors i = î + 2î – 4k and w = 2î + 3ĵ + 5k is - obtuse. Select one: OTrue…

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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: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: v=6,9 and point in the same direction -24,-27

Q: 7) Add the given vectors by components. Remember to give both the magnitude and direction of the…

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Q: a) Find a vector that is perpendicular to both w = ỉ – 3+ 3k and i =7+23.

A: As per our guidelines, we can answer only one question. So, here I am answering for a) please repost…

Q: . The vectors u, v, and w are represented in the standard (xx) coordinate plane below. 10 In what…

A: We need to find the general direction of vector u-v+w

Q: 19. Which of the vectors (A)–(C) in Figure 22 is equivalent to v – w? (A) (B) (C) FIGURE 22

A: The vectors substraction: (v-w)

Q: 80. Given v = -2li + 33.6j and w = 5i – 8j, a. Find the angle between v and w. b. Are the vectors…

A: We have given two vectors v=-21i+33.6j and w=5i-8j. First we have to find the angle between v and w.…

Q: 02. Given the vectors : A = (3.-1, 2), B = (0, 1, 1) and C- (2, 2,-1), find: the angles between the…

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Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = -5i + 7j, V = 6i +…

A: To find: The angle between the given vectors. Given information: Concept used:

Q: Given the following vector: u=(1,2,-4) and v=(2,3,5). Find the angle between u and v. And the unit…

A: Given vectors are u=1,2,-4 and 2,3,5. To find the angle between u and v and the unit vector.…

Q: Determine whether given vectors spans in R? S={(2,-1,4).(3,–3,5).(1.1.3)}

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Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: The vectors v=6,9, To determine: Whether the vector -24,-36 is parallel to given vector or…

Q: 9. The points D, E and F divide the sides BC, CA and AB of a triangle in the ratio 1:4, 3:2 and 3:7…

A: Given: The points D, E and F divide the sides BC, CA and AB of a triangle in the ratio 1:4, 3:2 and…

Q: The angle between vectors (1,-1,–2) and (0,4, –3) is, approximately,: Select one: a. -1.41 O b. not…

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Q: Given vectors u = (-4, 7) and v (3, –2), find the difference v u and - epresent the difference…

A: Vector

Q: Find the value of a in the vector v (a, b) if b = 9 and ||ū|| = 15 v is in Quadrant I

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Q: 3. The vectors i and y are each vectors of length 3 units, i.e., = | = 3. If + = V17, determine – j.…

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Q: Given the vector component of D(2, − 6, − 5) and G(1, 2, 3), find the vector of D that is parallel…

A: Given:      D2,-6,-5       G1,2,3 Two vectors D and G are said to be parallel if their cross product…

Q: 7. Write the vector w in terms of u and v, given that the terminal point of w bisects the line…

A: This question is related to vectors, we will solve it using given information.

Q: 3. (a) Define the dot product of the vectors u = (a,, az) and v = (b,, b,), and state the formula…

A: a). The dot product of the vectors u=a1, a2  &amp;  v=b1, b2 is the sum of the product of…

Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

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: Given the vectors v = 2i+ 3j – k and w = 4i – 2j + 3k. Find the angle between v and w. %3D

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Q: 3 The vectors a and b are defined by a - and Given that a + 2b = Si + 4j find the values of p, q and…

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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: 2a.) Suppose u, w are two vectors in R7 satisfying uxu 4, wxw 16, uXw = 8, What is the cosine of the…

A: We are given that : u→.u→=4⇒u→u→cos 0=4⇒u→2=4⇒u→=2 w→.w→=16⇒w→w→cos 0=16⇒w→2=16⇒w→=4 Now, Let θ be…

Q: If A = Si+ 4j + 2k, B = 4i- 5j + 3k, and C= 2i-j- 2k, where i,, k, are the unit vectors, determine…

A: Vector: A quantity that has both magnitude and direction is called a vector. Direction Cosines: If…

Q: Find the magnitude of each vector and the angle u, 0° # u , 360°, that the vector makeswith the…

A: Given vector, u=3,-3

Q: Question in Image.

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Q: For what values of a and B will the vector (a, 1, B) be orthogonal to (4, 0, 3) and (-1, 1, 2)? a =…

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Q: Find the angle between vectors v=(1,1,1,-1) and u=(1,3,1,-1) ал Write the answer as a/b for the…

A: To find The angle between two vectors.

Q: 4 3 Which weights should be used for b = a, vị + a2 V2 to obtain the vector b = ? 2 a1 = Ex: 42 az =

A: Solve the following

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree: u = 13î – 8î and 3 = 2î…

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Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i + 6j, V = −12i…

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Q: Which pairs of vectors are parallel? Select all that apply. OA. 10i – 15k, –4i + 6k В. 3і + 4j, —12i…

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Q: (2) The two vectors u and v are shown. (o) |v= 3 45° Ju|=2 (a) Find u v (b) Find v· u (c) Is u x v…

A: To find u. v,  v. u and( u x v).