What is the staring point of the vector i = -3i + 2j, if the ending point is (-2, 1)?

Q: What is meant by the term translation in vectors?

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Q: What is the component form of the vector with an initial point of (-2, 5) and a terminal point of…

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Q: 26. Find the vector that has the same direction as (6, 2, -3) but has length 4.

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Q: photo attached

A: Given point can be written in vector form as,

Q: Find a vector equation for the line segment that joins P(1,3,4) to Q(-2,4,6)

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Q: For the three vectors a, band, it is found that ax statement below is true?

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Q: What is the component form of the position vector for a vector with an initial point of (-1,0) and a…

A: We have to find component form of position vector.

Q: Choose a vector (b1, b2, b3) for which Ax = b can be solved, and another vector b that allows no…

A:

Q: The two vectors a = (-1,2,-2) and b = (2, -4,-5), are not parallel but are orthogonal. Select one:…

A: Using algebraic operation

Q: Sketch the given vector with initial point (1, 6). u = (-7, -4)

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Q: The sum of the squares of the direction cosines of a vector in space add up to ..............

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Q: Find the sum of the given vectors. a - (3, 0, 2), b- (0, 6, 0) Illustrate geometrically.

A: Given, Two vectors  a = ⟨3, 0, 2⟩   b = ⟨0, 6, 0⟩  We have to find the sum of vectors and illustrate…

Q: What is the staring point of the vector i = -3i + 2j, if the ending point is (-2, 1)? %3D A ( 5,3) B…

A: Given: v=-3i+2j , ending point -2,1 Let the starting point x,y. We can find the position vector by…

Q: photo attached

A: Given that a vector V goes from the origin to a point (5, -5).

Q: What is the vector between the point (−3a,−7b) and the point (−4a,−5b)?

A: Vector between two points A and B is B-A

Q: Let a = (10,-1,1) and b = (5,-3,-9) be vectors. How do I find what the image is asking for?

A: (A) ⇒Projb→a→=a→·b→a→⇒Projb→a→=(10, -1, 1)·(5, -3,…

Q: Finally, verify that the vectors satisfy the Parallelogram Law |||² + ||||? 3. ī = (2, –1), w =…

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Q: Which two vectors are perpendicular to both a and b?

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Q: Determine the figene valves and Vector for 2 A=-1 2 -2

A: (A-λI)X=0 A= given matrix λ=constant I=identity matrix

Q: The line that passes through the points (4, –2,0) and (1, 1, 1) is parallel to which vector? Check…

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Q: What is the length of the vector (1, 4, 5, -3) in R^4?

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Q: Sketch the vector b = <3, 4> based at P = (−2, −1).

A: Sketch the vector b=<3, 4> based at P=(−2, −1).

Q: What is the component form of the vector with an initial point of (-2,5) and a terminal point of…

A: Given that ,  The vector with  Initial Point = (-2 , 5) Terminal Point = (7 , -3).

Q: The vector equation through the point (-2,5,3) and pe O O O

A: Here we have to find the equation of the vector passing through the point (-2,5,3) and normal to…

Q: Show that the pair of vectors is perpendicular. 3? + ? and ? − 3?

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Q: What is the terminal point of the vector a = (4, 1) based at P = (1, 5)? Answer:

A: Use the definition of terminal point, we solve this problem as in next step.

Q: What is the vector equation of the line segment that connects point P(1,−1,2) to point Q (4,1,7)?

A: Given, A line segment passes through the points P1,-1,2 and Q4,1,7 We have, the vector equation of a…

Q: Let vector AB = (2,3,1). If the coordinates of A are (2,1,5), what are the coordinates of the point…

A: Vector AB= B-A

Q: Find the sum of the given vectors. а - (5, -1), ь - (-1, 8) a +b = 4,7 Illustrate geometrically. y

A: We have

Q: What vector has the same magnitude as the vector u = (4,-3) and points in the opposite direction?

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Q: Sketch the given vector with initial point (7, 5). %3 (4, 2) u =

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Q: We have two vectors: a= a-(:) and b=() What is the resultant of -a plus b?

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Q: What is the component form of the vector whose tail is the point (-1,5), and whose head is the point…

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Q: If the vectors a=(2,5,-1) and b=(3,-3,k) are orthogonal, the the value of k is

A: Given : a = 2,5,-1b = 3,-3,k

Q: What is the component form of the vector whose tail is the point (-2, 6), and whose head is the…

A: Answer is in step 2.

Q: Find the vector that has the same direction as (2, 6, -9) but has length 4.

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Q: Find the length of the vector. v - (9, 12)

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Q: Explain how to find a vector in the direction of the line segment from P0(x0, y0, z0) to P1(x1, y1,…

A: Initial point is P0x0, y0, z0 and the terminal point is P1x1, y1, z1.

Q: What is the size of the angle between the vectors a = (2, 5, -1) and b = (-3, 2, 6)?

A: Given  a = (2, 5, -1) and b = (-3, 2, 6) To find angle between two vectors:

Q: The length of the vector c = (2, -3, 1) is %3D

A: Length of vector equal to magnitude of that vector  if v = <x,y,z>  then magnitude/Length =…

Q: Which vector is the result of a + b?

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Q: What is the component form of the vector whose tail is the point (-3, 2) and whose head is the point…

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Q: Let a = and b = -2 be two vectors. What is Ja2|b|2 - Ja b2 ?

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Q: when we decompose the vector , what would the vertical component be?

A: Use the decomposing concept of a vector.

Q: If we were to decompose the vector , what would be the vertical component?

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Q: the vector from P1(1, 3) to P2(4, –2) is

A: Given :

Q: What is the angle in degrees between the two vectors (2, 4. -1) and (4, 8, -2)? Note that the…

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Q: Which of these vectors is equivalent to the vector that has initial point (5,-2) and terminal point…

A: We have to find which of these vectors is equivalent to the vector that has the initial point (5,-2)…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.