(a) -2 (b) -3 (c) -2 -4 4

Q: Set û= and w= Write as a linear combination of these two vectors For the toolbar, press ALT+F10 (PC)…

A: HHere C1 nad C2 are scalars

Q: Determine if b is a linear combination of the other vectors. If so, express b as a linear…

A: topic - vectors

Q: -5 and 4 4 k are orthogonal. k =

A: We know that if two vectors u & v are orthogonal to each other then the dot product or scalar of…

Q: Find the sum of the given vectors. a = (1, 2, -1), b= (0, o, 6) a +b =

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Q: Write the given a linear combination 7. vector as of vectors from the set if possible ほ) -3 15 18 13

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Q: Find the component form of the given vector. 5 -3

A: Consider the given vector. It has initial point at the origin 0,0. The terminal point of the given…

Q: Given the points A: (2,4,-3) and B: (2,-3,5), find the vector ā AB

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Q: Consider the following vectors: -3 -4 3 u = -3 , and b -2 4 4 When b is expressed as a linear…

A: Compare both side in matrix

Q: If a vector (a) If AB, find a and B. (b) If ALB, find a and B. Ã=3ā¸+6ā„+ā₂and B = αã¸−2ケ ßā¸‚

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Q: Find the length of each vector.

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Q: P 2v -2v X. Use the accompanying figure to write each vector listed as a linear combination of u and…

A: GIVEN: The figure is given

Q: Suppose a,b and c are vectors then a.(bxc)= -(a.(cxb)) 0 صواب İhi O

A: We know that if a , b and c are vectors then

Q: Given vectors a = (-4,3) and b = (2,9), what are the components of vector -a – b? (а) (-6, —6)…

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Q: Use the figure to find the specified vector. Find -a. .. -10-8 -6 t2 4 x0T. 8.9 ...

A: We have to find -a.

Q: Given vectors a = (1,2),5= 2,-1), find 4a-35. (-2,-11) (2,-11) (-2,11) (2,11)

A: Given vectors are:- Vector a =<1,2> vector b =<2,-1> Find :- 4a-3b

Q: Given vectors a=-37-9)andy=-12t-13, find vector x

A: We need to obtain the difference of the two vectors.

Q: simplify the given vector expression. -3(a - c) + 2(a + 2b) + 3(c -b)

A: Given that expression, -3(a - c) + 2(a + 2b) + 3(c -b) For any three vectors u, v and w the property…

Q: Find each vector. a) и +v b) и —v 4 с) —и- 20

A: As shown in the figure point v is (-8, -4) and u is (4,-4).  vector v is -8i - 4j vector u is 4i -…

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

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Q: If ||v|| - 10 and 0 = 120°, find the component form of the vector. O O O O

A: We have to find vector components

Q: Find the component form of the given vector. v = y 51 4 X -6 5 -4 2.

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Q: 一1- 2. Write 3 as a linear combination of the vectors +

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Q: Q6:- A/ Show that the vectors A. (BxC) B.(CxÃ)=C.(AxB), if the vectors A= 31-j+2k B=21+j-k C= i-…

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Q: Find the sum of the given vectors. a(-2,5) b (7,-2) a+b=?

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Q: Choose the linearly dependent vectors in R Select one: -2 b. d. 2.

A: From a given set of four vectors we need to find the set of vectors which is linearly dependent in…

Q: Given the vectors a=(7, -4) and b=(-3, 8), find 2a and a +b. Write your answers in component form.…

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Q: Find the dot product of each pair of the given vectors. 1 4 -4 1 16

A: Given vectors areV1=51-1,V2=-141,V3=4-416we have to find V1.V2,V2.V3 and V2.V3

Q: 3 can be written as a linear combination of which of the following pairs of vectors? The vector…

A: We need to find which of the given vectors can be used to express 38 as a linear combination. The…

Q: Given the vectors à = and b =

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Q: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

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Q: -1 -2 3 2 23. Let A = and B 4 Write 3 2 5 each column vector of AB as a linear combination of the…

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Q: -0-0 and 2- For the two vectors: U- cijkuivjek find the result of the expression:

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Q: Find the vector -5u-3v given the vectors u 5i+j and v = 2i-3j. Write your answer in the form ai+bj.…

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Q: Which of the following vectors is shown in the graph below? ++ O f2.1.4) O 2-1,-4)

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Q: Find the magnitude of each of the following vectors.     (-7,0)

A: We have to find the magnitude of the vector: -7, 0 We know that if we have vector represented as a,…

Q: Express each column vector of AA as a linear combination o the ordered column vectors c1, c2, and c3…

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Q: Find the unknown entries in the vector equation. 4 4 + 3 a 7 a = b =

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

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Q: Determine whether b is in the column space of A. If it is, write b as a linear combination of the…

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Q: Given vectors ā = (-1,-2),5 = 2,–1), find 4a-35. (10,5) (-10,-5) (-10,5) (10,-5)

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Q: Find the sum of the given vectors and illustrate geometrically. 12. (1, 3, -2), (0, 0, 6)

A: Now the two given vectors be <1,3,-2> and <0,0,6> . To find the sum of the given vectors…

Q: Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and 6

A: Vector addition

Q: Given the vectors =(-3, 1) and n=(-2, 0), find 7m and m-n. Write your answers in component form. 7m…

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Q: Find the unknown entries in the vector equation. -3 b + 3 a 5 8 a = b =

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Q: Find the sum of the vectors - î + 23 + k and i = - î + 23 – 2k. %3D j +

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Q: 10. Given vectors a = (3,-5) and b = (-2, 7), find 4a - 5b

A: Given a=(3,-5) and b=(-2,7)Then find 4a-5b

Q: Let a, b, and x denote vectors in R,,. (a) Simplify 3a + (5b -2a) + 2(b - a). (b) If 5x - a = 2(a +…

A: (a) Calculation: The simplified form of 3a+5b-2a+2b-a can be obtained as,…

Q: Let a, b, and x denote vectors in Rn. (a) Simplify 3a + (5b -2a) + 2(b -a). (b) If 5x - a = 2(a +…

A: Given:         a, b  and x are vectors in Rn.