-41 Question 2: For what value of "a" the vector v = 3 is linear a -3" 国 5 combination of the vectors v1 = -1; v2 -4 and v3 1 -2.

Q: a) Determine the magnitude of a vector perpendicular to both n1⇀ =(-3,1,0) n2⇀ =(1,5,2) b) Describe…

A: The given vectors aren1→=-3,1,0= -3 i+1 j+0 kn2→=1,5,2=1 i+5 j+2 k

Q: 2 3 Given the following three vectors u = 10 v = -5| and w = 6 8. [-22]

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Q: 8 Find a vector of length: (2) (+) 3 a 10 units which is perpendicular to (a -4 b 3/2 units which is…

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Q: 4 9. is 6/2 The distance between the vectors u = and y = -2 %3D -5 True O False

A: Suppose u and v be any vectors from a same vector space. Then the distance between u and v is…

Q: Nº1. Problem Show that the vectors u = 3i – 2j + k and v = 2j + 4k are orthogonal.

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Q: 16. Which is the magnitude of the vector with an initial point (-3, -2) and terminal point (5, -8)?…

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Q: -9 Vị V2 -2 -8 13 ? -32 Which weights should be used for b = a1vị + a2V2 to obtain the vector b = a1…

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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: 2. The two unit vectors parallel to the line 3x + 4y = 1 are and 3. The two unit vectors…

A: 2) The line is 3x+4y=1. Rewrite the equation of the line in the slope intercept form as,…

Q: 10. Find the vector equation of a line whose symmetric equations are x-1 y + 3 z- 1 %3D %3D 3…

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Q: 3) Find the components of the vector i that has a magnitude of |0| = 9750N and direction 0 = 243.0°-…

A: Find the components of vector v. |V| = 9750 θ= 243.0o

Q: What are the values of h for which the vectors ar linearly dependent? HEB -4 7. h

A: Given that:  Let u=2-41, v=-67-3 and w=8h4

Q: 3. The line through the point (2, 2.4, 3.5) and parallel to the vector 3i+ j – k Answer + (2i+ 2.4j…

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Q: Which of the following vectors is opposite of the given vector below?

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Q: snip

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Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

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Q: 1. Give the vector equation of a line perpendicular to the line L: x= 21-1, y=-31, 1 e R. Are there…

A: Given line: l:x=2t-1, y=-3t, t∈ℝ To find the other line The vector equation of the line is…

Q: solve for th e vector x in terms of the vectors a and b. x - a= 2(x - 2a)

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Q: Find the magnitude of the vector v whose initial point is P(5, – 2) and terminal point is Q(0, – 4).…

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Q: 3. The line through the point (2, 2.4, 3.5) and parallel to the vector 3i+j - k Answer +

A: The line through the point (2,2.4,3.5) and parallel to the vector 3i+j-k is .

Q: snip1

A: (a) Let the vector 123 be a linear combination of the vectors 103 and -11-3. Then we can find…

Q: Question 2: For what value of "a" the vector v = 3 is linear a combination of the vectors v1 = -4…

A: Given that vectors are : v=-43a, v1=1-1-2, v2=5-4-7, v3=-310 We have to find value "a", such that…

Q: -4] Question 2: For what value of "a" the vector v = 3 is linear a -3° combination of the vectors vị…

A: A transformation is called linearly independent when the nullity of the transformation is 0.…

Q: -7 -3 Find out the area of the triangle whose two sides are given by the vectors: V1 and v2 = -5 8 1…

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Q: 2. Express the vector v = 3i – 4j as the sum of a vector parallel to b = 2i +3j and a vector…

A: Given, v→=3i^-4j^ The parallel vector c→ to the vector b→=2i^+3j^ can be written as c→=λb→=2λi^+3λj^…

Q: 1. The vector x expressed in terms of the vectors w and u а) w — и с) w + u b) и — w м.п (р

A: …

Q: 5. V = 3 V2 = 7 4 -5 -2 Which weights should be used for b = a¡V1 + azV2 to obtain the vector b = 10…

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Q: Q8) The vector of length 6 units and normal to the plane: 2x + y - 2z = 6 is

A: We need to find a vector that is normal to the given plane having a length of 6 units. Now, We know…

Q: 5) Find a unit vector that has opposite direction of the vector i - 2j + 4k.

A: First change direction of vector then find magnitude and write unit vector

Q: --8-9--8-- 7 1. Are the vectors u =| and w= 10 independent? 4 12 2 and 3 3 independent? 5 2. Are the…

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Q: b) Find the angle (0) between vectors between s = [1, –5, 4] and t = [3,3, 3].

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Q: v1 = (- 3.7) and v2 = (5.5) vectors Does it form a base for R^2? Why is that?

A: Given V1=(-3,7) and V2=(5,5) To check V1 and V2 are basis for R2.

Q: (2) For the vectors ä = (-1,3, 4) and 5= (-2,2, 0) calculate the following: (a) ãoË (b) ä x b (c) A…

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Q: State the condition(s) that: a) two vectors can be equal vectors. b) two vectors can be opposite…

A: To state the conditions for a given vectors.

Q: Q3/ Let å = (2,1, -4) and b = (3,-2,5) be two vectors. Find a vector that perpendicular to both å…

A: Q3/ The given vectors are a⇀=2,1,-4 and b⇀=3,-2,5

Q: -1 parallel to the vector (4, -1) ? For what value of t,if any, is the vector Not AO t=- 16 BO t =…

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Q: 1. The two unit vectors parallel to the line y = 2x 1 are | and 2. The two unit vectors parallel to…

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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: 1. Find the angle between two vectors u = i-2j - 2k and v= 6i + 3j+2k.

A: Given two vectors u→=i-2j-2k and v→=6i+3j+2k. Here find the angle between two vectors.

Q: Q.2B) Evaluation of IA-2B1 through define length of the vector [A] equal to and length of vector IBI…

A: Given.

Q: -4] Question 2: For what value of "a" the vector v = 3 is linear a combination of the vectors vị…

A: Vectors are the quantity that have magnitude as well as direction. Magnitude of vector is equals to…

Q: () Let a = -2 and b= 1 be two vectors. What is |a|2|b|? - |a - b|² ?

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Q: 1. The vector x expressed in terms of the vectors w and u а) w - u c) w + u b) и — w d) и w

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Q: b) Find the angle (0) between vectors between s [1, –5, 4] and t = [3,3, 3]. %3D

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Q: 9. Find two unit vectors that are perpendicular to both j + 2k and i – 2j + 3k.

A: A vector perpendicular to both of the given vectors can be found out by finding the cross product of…

Q: Problem 6. For what values of h are the vectors -21 [*] 3 h and linearly independent?

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Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k 41 +5/-6k i (C): If w = tan x and…

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Q: 1 Let v be the vector 2 . The vector of length 3 in the opposite direction as v is -2 Select one: а.…

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Q: -6 --5 Let z = and y . Find the vectors v = 47, ủ =i + ÿ, and w = 47 + y. w = || ||

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Q: 2 Let V = -1 What is the vector of length 2 in the opposite direction to V? -2 a) 2 -2 -1 2 b) -2 1…

A: Our objective is to find the vector which is opposite to be and of length 2.