The vector v has initial point P = ( -1, -2) and terminal point Q = (3, 5). Write v in the ai + bj form; that is, find its position vector

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

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Q: Express the vector P, P2 in the form v = v, i+ v2j + v3k if P, is the point (- 7, - 3,1) and P2 is…

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Q: Find the dot product of the pair of vectors (-2, 5) and (4, 1).

A: Given : < -2 , 5 > and < 4 , 1 >

Q: Find a unit vector having the same direction as the given vector. (-7, 7)

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

A: The initial point of the vector is -9,2. The final point of the vector is 5,-5. Let the initial…

Q: what will be the direction of -k x -i ?

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Express the vector v with initial point P and terminal point Q in component form. (Assume that each…

A: It is asked to represent the given vector with initial point P and terminal point Q in component…

Q: Express the vector v with initial point P and terminal point Q in component form. (Assume that each…

A: A VECTOR V WITH INITIAL POINT P(X1, Y1)  AND TERMINAL POINT Q(X2,Y2) IS GIVEN BY V = (X2-X1) i…

Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

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

A: The vector equation of a line passing through any two points with position vectors a  and  b is…

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

A: The vector is (-3,5)

Q: Find an equation of the plane that passes through the point P(-7,–5,5) and has the vector n = (-1,4,…

A: Given : Point P(-7,-5,5) and a normal vector n=<-1,4,2>   To Find : Equation of the plane that…

Q: Express the given vector in terms of the unit (о, -5, 7)

A: Given query is to express the vector inthe form of unit vector.

Q: Write the component form of a vector v with initial point P and terminal point Q. P(-1,-10), Q(-1,…

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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…

A: Given vectors u=(1, -3, 5)  v=(2, 1,-3)  And line passing of point (1, 2,3)

Q: Find the resultant of the vectors A and B. Ả = A = 8a, + 7ay + 2a, B = -Зах — 8ау — ба, Draw the…

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Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

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

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Q: Find the vector in the same direction as <1, 1, 0> whose component in the direction of <2,…

A: Let  us suppose that

Q: photo is attached

A: Given informationVector V = (-3, 5)

Q: Find the vector equation of a line that passes through the two points A(3,9,2) and B(−7,1, −4)

A: The given points are: A=3,9,2B=-7,1,-4  Therefore, A→=3i+9j+2kB→=-7i+j-4k  To find the vector…

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

A: Solution: The objective is to determine whether the given vector is linear combination of the given…

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: Find a vector equation of a line passing through the point (-1, -2, 4) and perpendicular to both a =…

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Q: Consider the vector whose initial point is P(-6, 1) and terminal point is Q(-5, -3). Find the…

A: Recall: Position vector v→=a, b where a=x2-x1 , b=y2-y1 We have (x1, y1)=(-6, 1) and (x2, y2)=(-5,…

Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

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Q: Express the vectors in terms of their lengths anddirections. -i - j

A: Given vector is: v = -i -j Then we get, The magnitude or the length is: = sqrt{(-1)^2+(-1)^2} =…

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 a vector equation of the line that passes through A(5,-4) and B(1,-1)

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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

A: topic - vectors

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 component form of a vector v with initial point P(8.6, -2.5) and terminal point Q (6.7,…

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Q: / Determinel the Component of the Vector at each Point (州,) {0r0),(40), (-り),(り, (ー4) ニ…

A: Explanation of the answer is as follows

Q: Express the vector v with initial point P and terminal point Q in component form. (Assume that each…

A: From the graph we can se that the coordinates of point P is 5, 2 and the coordinates of point Q is…

Q: Find the indicated vector. Let u - (-3,-7) --8, -1). Find -2u - 3v.

A: To find -2u-3v :

Q: What is the component form of the vector represented by 2a when = (-2, 3)? Enter the answer in the…

A: If we multiply by a constant to any vector then  magnitude of that vector will be changed.

Q: Express the vector v with initial point P and terminal point Q in component form. (Assume that each…

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Q: Give the vector equation of the line passing through P and Q.P = (1, 1, 0), Q = (1, 0, 1), R =…

A: P=(1,1,0) and Q=(1,0,1)we have to find vector equation of the line passing through these points

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: 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: .3

A: Given: v={ √2,3√2}

Q: Find the orthogonal projection of the vector a (-9,-8, 7) in the direction of the (-3,-5,-2). vector…

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Q: Find the vector equation of the line passing through the point (1, 2, - 4) and x-8 y+19 z-10 x-15 у…

A: To find the equation of line perpendicular to the given lines first we find vector perpendicular to…

Q: If a vector V is in standard position and the tip of the vector corresponds to the point(a, b), then…

A: Given, If a vector V is in standard position and the tip of the vector corresponds to the point(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…

Q: Express the vector v with initial point P and terminal point Q in component form. (Assume that each…

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