Suppose A = (-2, 1,3) and B = (4,4, –1). Let a and b be the position vectors for coordinates A and B. Let c be the vector that points from A to B. a. Find c. b. Find Ja + bl. c. Find a – 3b. d. Find the unit vectors for a, b, and c.

Q: For the pair of vectors, find U + V, U - v, and 2U – 4V. U = (5, 1), V = (-6, 3) U + V = U - V = 20…

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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: For the given vectors: å = (-2,-3), = (1,-2), č = (2,3), find: (a) 3ã – 5 + 2č (b) angle between the…

A: Vector: A quantity that has magnitude, as well as direction, is called a vector. The magnitude of a…

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: For what values of a and ß will the vector (a, 1, B) be orthogonal to (2, 0, 7) and (-1, 1, 2)? α =…

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Q: photo attached

A: Given informationU=(4, 1),  V = (-7, 3)That is U= 4i+1j      V = -7i+3j

Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: We will first assume a=(a_1,a_2,a_3),b=(b_1,b_2,b_3) and c=(c_1,c_2,c_3).Now will will use…

Q: Suppose that U and V are vectors of lengths 2 and 3, respectively. If the angle between U and V is…

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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: Given the three vectors A = 3ix + 2iy – İz B = 3ix - 4iy – 5iz C = ix - iy + iz Find the following:…

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Q: Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find:

A: (a) The angle between the two vectors u and v is computed by the following formula. cosθ=u·v|u||v|…

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: Given the points A: (-4,6,2) and B: (-1,5,-3), find the vector ū AB

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Q: Assume that the vectors a, b, c, and d are defined as follows: а - (2, 3) ь - (7, 4) с- (6, -5) d -…

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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: Find the angle between the vectors v and w v = (2, 1, 3)T , w = (6, 3, 9)T

A: We need to find the angle between the two vectors.

Q: For each of the following vectors b€ Rª, decide whether b is a inear combination of V1, V2, and v3.…

A: We have to show whether the vector 'b' is a linear combination of v1,v2 and v3 where the vector are…

Q: For the given vectors: å = (0,3), b = (4, –2), ở = (3,2), find: (a) 3å – 6+ 2č (b) angle between the…

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Q: sketch the vectors −→AB and −→P Q, and determinewhether they are equivalent A = (1, 4), B = (−6, 3),…

A: Given, A=(1,4), B=(-6,3) P=(1,4), Q=(6,3)     Sketch the vectors AB→ and PQ→, and determine whether…

Q: Let the vectors a=[1,1,0] b=[3,2,1], and c=[1,0,2]. Find the angle between а) а, b b) b, с с) а+с,…

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Q: 4. Find the angle between each pair of vectors. Round to two decimal places as necessary. a) (V3,…

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Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v simple

A: Given vectors are u=<3,2>and <9,1> Now, we will find the given value.…

Q: Given the points A: (-6,6,-5) and B: (3,-1,0), find the vector i AB i = <

A: Since, we have been given the points A (-6,-6, 5) and B(3,-1, 0).Our Aim is to find the vector u⇀…

Q: photo attached

A: Given,

Q: For the pair of vectors, find U + V, U – V, and 2U – 4V. = (5, 9), V = (5, -9) U + V = U - V = 20 -…

A: Let's look at the rules of operations of vectors:

Q: Q1.If à = 2a, + 2a, – a, and B = 3ax + 2a, – 6a, are vectors, find (a) Ả · B (b) Ả× B (c) Angle…

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Q: Given v=[2,-9] and w = [7,-8], what is 2w-v written as a linear combination of unit vectors?  please…

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Q: ) If m = 2i+2j-k and n = 31-6j+2k, find: a) m ·n and b) the angle between m and n. c) the component…

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Q: 1. Assume the lengths of the vectors 2a – b and å + 35 , assuming å = (2,1,3) and b = (-1,2,2) 2. If…

A: Using scalar multiplication of vectors and magnitude of vector concepts  we can solve this question

Q: If a and b are vectors with the same initial point and angle between them, prove that||a - b||2 =…

A: Consider the given expression as, a-b2

Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

Q: Two vectors are defined as A = ax + 2ay + 3az and B = 3ax + 2ay -7az . Which of the following vector…

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Q: For the given vectors: a = (2,–3), b = (0,3), c = (1,4), find: (a) 3å – 6+ 2č (b) angle between the…

A: a) this is the case of scalar multiplication and then addition and subtraction. So 3 times of vector…

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

A: Given vectors D(2, -6, -5) and G(1, 2, 3) We need to find the vector of D that is parallel to G

Q: in the same sets of axis express the following vectors a=i+j, b=-1+j, c=a+b, d=2a,and e=a-b

A: The vectors are:-

Q: For vectors ū = (1,-5,2) and v = (3, 1,-4), calculate the following: a) ū• i b) the angle between ū…

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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 the pair of vectors, find U + V, U – V, and 3U – 4V. U = (3, 1), V = (-6, 2) U + V = U - v = 3U…

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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 the same sets of axis express the following vectors a = i+j, b = -i+j,c = a + b, d = 2a and e = a…

A: Answer

Q: For the vectors: (6, –5) and V = (-1,4) U = Which of the following is the correct value of: |3 7ỉ –…

A: Here we have to find |3u - 2v| using given u and v vectors

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: 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: 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: For the given vectors a and b, find the cross product a x b. =(3,0, -1), b = (3, 2, 0) a %3D a x b =

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Q: Given the vectors M = -10ax+4a, – 8a, and N= 8ax+ 7a, – 2a-, find: (a) a unit vector in the…

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Q: photo attached

A: Given:U = &lt;3, 3&gt;V = &lt;3, –3&gt;