The vector v has initial position P and terminal point Q. Write v in the form ai+​bj; that​ is, find its position vector.P=(5,5)​; Q=(-6,-3)

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→…

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Q: The vector v has initial point P = ( -1, -2) and terminal point Q = (3, 5). Write v in the ai + bj…

A: The initial point P and the terminal point Q  of a vector v are : P = -1,-2Q = 3, 5 To evaluate :…

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: , 2)  and terminal point  (5, −5),  find an equivalent v

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Q: Write the vector (-5, -9) as a linear combination of the vectors (-2, 3) and (1, 4).

A: NOTE: Refresh your page if you can't see any equations. . write both vectors in the matrix and the…

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Q: Write down the equation of the line that passes through the points (5, -1, 2) and (3, 1, 1). Using…

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Q: Determine whether or not the following pair of vectors are parallel, perpendicular or neither. a)…

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Q: If the wind is blowing from the east at 47 km/h and an airplane is on a heading of 155° with an…

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Q: photo attached

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

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Q: Find a vector equation for the line that goes through the points (7, 6, 2) and (2, 14, 2). 7(t) =…

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Q: Reflect the vector (-3, 5) across the line y=x

A: The vector is (-3,5)

Q: Express the vector in the form v = V¡i + v2j + v3k. P2 if P1 is the point (4, -5, 6) and P2 is the…

A: Given :                      P1 4,-5,6 and P2 6,-8,2

Q: If the vectors ü =[-9, a, 15] and V= [b, 2, - 5] are collinear, then: a = 6 and b = -3 Oa = -6 and…

A: by using collinear concept

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Q: Are the vectors-3- 12z-4r, - 2-7z- 2x and -3- 10z - 3z linearly independent? choose If the vectors…

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Q: Given a vector with initial point (-2, 5) and terminal point (8, -8), find an equivalent vector…

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Q: Find the symmetric equations of the line that passes through the point (3,6, –10) and is parallel to…

A: The line passes through a point means that the point lies on the line. The direction vector of a…

Q: Use the vectors u = (1,-3,5) and v=(2,1,-3) to Find The equation of the line through (1,2,3) with…

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

A: Simply write the each coefficient of x1 , X2 & x3 in each column respectively.

Q: the vector, v, with initial point (-3, 5) and terminal point (2

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Q: A figure is translated using the vector (-3, 7). What translation vector would move the image back…

A: i have provided solution in step2

Q: (6, -2, -4), and the unit vector from the origin toward point B is (2, -2, 1)/3. If points A and B…

A: The vector from the origin to point A is given as (6, −2, −4), and the unit vector directed from the…

Q: Find the symmetric equation for the line through the point of (2.-5,4)and a vector (3,–1,-3).

A: Given the vector is, 3,-1,-3 And the point is, (2,-5,4). The parametric equation for…

Q: Determine which vectors that are orthogonal to (-3,- 6)? (-4,2) and (- 1,3) (-10, 5) and (-3, 6) a.…

A: Since your question has multile question we will solve the first question for you.   Find the…

Q: Write the vector (7,8, –8) as a linear combination (if possible) as of the vectors (-1,1,2), (2,3,…

A: See answer below

Q: Find the vector v = PQ. Р- (2, 1,4) Q = (-8.25, -4.25, 8) v =

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Q: a) Find an equation of the line through P(1,-2,4) with direction vector v=[2,4,-4]

A: To find the equation of line.

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 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: Draw the vector V that goes from the orogin to the given point. Then write V in component form (a,b)…

A: initial point <0,0> and final point <-3,5> then vector component (a,b)=final point -…

Q: The vector equation for the line passing through the points (-4, 1,0) and (4, 4,-3) is r(1)-

A: It is given that the line passes through the points (-4,1,0) and (4,4,-3). Consider that the vector…

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

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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 direction cosines of the vector joining the two points (4, 2, 2) and (7, 6, 14).

A: Given that: Two points are (4, 2, 2) and (7, 6, 14)

Q: Find symmetric equations for the line that passes through the point (5, -2, 7) and is parallel to…

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Q: Find the equation of the line that passes through the point (3,4,5) and is parallel to the vector…

A: The equation of a line that passes through the point: x0, y0, z0 is L=x0, y0, z0+ta, b, c, where a,…

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: If you were to translate the coordinates of point C using vector (-3,2) , what would the coordinates…

A: Here we can find the answer as below.

Q: 2. Translate the triangle with vertices A(3, 4), B(2, − 1), and C(4, 12) along the vector (-1, 3).…

A: translate the triangle with vertices A3,4 , B2,-1 , C4,12 along the vector -1,3. find the…

Q: Find all solutions, if any, to the given system of equations. Express your answer in vector form. +…

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Q: Write the vector (7, 4,-12) vectors (-2, 1, 2), (1, 1, –2) as a linear combination (if possible) as…

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Q: Which vector gives the direction vector of a line given by vector v = (-3,-5, 1) + t(7,2,3)

A: Let us consider the vector form a line r→=a→+tb→ Here, a→ is a position vector and, b→ is a…

Q: Find the component form of the vector.

A: Consider the figure: Find the component of form of a vector v.   The component form of a vector in…