Write the vector equation that is equivalent to the system of equations: 12x1 13x2 11x3 14x1 2x2 6x3 3x1 12x2 + 11c3 +x2 + x3

Q: If ā= 3x - 5y and b = -2x+9ỹ, write the vector 5ã-85 in terms of x and y

A: Given vector are a→=3x→-5y→   and b→=-2x→+9y→. We have to find the vector 5a→-8b→. Now, 5a→=53x→-5y→…

Q: define (2a - b + 4c, 3a-c, 4b + c) as a linear combination of three nonzero vectors

A: We have to define  (2a - b + 4c, 3a - c, 4b + c) as a linear combination of three nonzero vectors

Q: How do you subtract two vectors algebraically? Geometrically?

A: Let the two vectors be a→ and b→. To find the difference between two vectors algebraically, that is…

Q: Find the length of each vector.

A: Solution: Consider the given vectors are  (a) u = 0-20 The length of the vector a→ = a1a2a3  ⇒ ∥a→∥…

Q: c-) Represent in a Cartesian system the graph of these two lines. d-) Give a vector equation for…

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Q: Find the solution set of the following vector equation.

A: In this question, we solve the system of equations. Here, we write the system in the matrix form,…

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

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

Q: Find the vector PP,: 5. P, P2 12 2 4 6. 4

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Q: Find the component form of the given vector. y 6 4 3 1 3 4 6.

A: The x coordinate of the point is 5

Q: Find the unknown entries in the vector equation. -3 + 3 -5 19 a%3D

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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: express each vector as a product of its length anddirection. 5k

A: Given vector is a→=5k^⇒a→=0·i^+0·j^+5k^ We know that direction of a vector a→ is given as a^=a→a→ ,…

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: Write down all of the solutions (if any) to the following system of linear equations. Give your…

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Q: Name the vector and write its component form. 13. 14.

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

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Q: Given the vectors u and i = , perform the operations below. %3D -7-0 =

A: Solution after performing operation is given:

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

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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: Write the given vector in terms of i and j. u- (0, -9)

A: given vectoru=(0,-9)

Q: Use the graph below to write vectors a, b, c, and d as a linear combination of u and v 2v W 2v y n-

A: The given diagram shows the shear transformation of the cartesian plane. You can consider the blue…

Q: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az

A: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az

Q: Write the zero vector of M3x4(F).

A: To write:The Zero vector of M3x4 (F)

Q: State whether each expression is meaningful. If not, explain why. If so, state whether it is a…

A: Note:- according to the company policy we can attempt only three subparts of a question so please…

Q: Solve the vector equation: -2 こ x, メ25 x3-6 G 3.

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Q: Write the vector and Cartesian (standard) equation of the line, given a point and slope below.…

A: Definition used -    Vector equation of a line -                 r=a+λd      Cartesian equation of a…

Q: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az * O…

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Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

Q: Express the following system of linear equations as a vector equation: −10x1−4x2+5x3+3x4  =  −2…

A: Write in matrix form AX = B

Q: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+…

A: Dot product of the given vectors

Q: Write the vector (-5, -9) as a linear combination of the vectors (-2, 3) and (1

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Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

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Q: Express the vector -8i-4j-8k as a product of its length and direction.

A: Given vector v→=-8i-4j-8k

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

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Q: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

A: To find: The effect of multiplying a vector by a positive and a negative scalar.  Explanation: When…

Q: Find the direction of the resultant vector. (-25.6, 7.7) - [?]° (-11, -9.8) Round to the nearest…

A: topic - vectors

Q: Write the vector (7, 8, -8) as a linear combination (if possible) as of the vectors (-1, 1, 2), (2,…

A: Let the linear combination be, x-112+y23-2=78-8 It is required to determine the value of 'x' and 'y'…

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: Name and write each vector in component form. 3. 5. 3. 5.

A: Given

Q: Express each vector in terms of i, j, and k. a) [5, 6, -4] b) [0, –8, 7]

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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: For what values of a, b, and care the vectors (2a-b,a-2b,6) and (-2,2,a+b-2c) equal?

A: The given vectors are 2a-b,a-2b,6 and -2,2,a+b-2c . Note that, two vectors are equal if their…

Q: Find the vector form of the equation of the line in R2 that passes through P= (2, - 1) and is…

A: If a line is parallel to another line, then they have same slope.

Q: Write the vector form of the line 4x-2y=3. Use this vector form only, and then plot the line

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Q: In the following diagram, the rectangle ACEG is divided into four congruent rectangles. F E a) List…

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Q: Given the vector equation, 1 3 2 X1 2 + x2 + x3| 1 4 -2 |

A: