write v in form ai+bj, find its position vector. There are 2 examples I need to find and solve: example I:          P=(3,2); Q=(5,6) example II:          P=(1,0); Q=(0,1)

Q: If u = (-3, -1), then the unit vector in the direction of u is:

A: Let u→=x i+y jthen the  unit vector in the direction u→ is given byu→u→=xi+yjx2+y2

Q: Consider A = ⟨0, 4, 2⟩, B = ⟨6, −1, 0⟩ and C = ⟨3, 0, 1⟩. draw the vectors A, B, and C in…

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Q: Explain how the direction vectors of two lines in ℝ3 can be used to determine whether the two lines…

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Q: In Cartesian coordinates, the position vector at point (3, 40, 1) is represented by

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Q: Are the vectors i = -5 -2), = [2 3 5 and w = [5 -2 -1] linearly independent? Choose If they are…

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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: , 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: Write unit vector for AB in component form when point A = ( 0,0 ) and point B = (-4, 8 ). %3D %3D

A: Formula: for the vector a→ the unit vector a^ is a^=a→|a→|

Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3),…

A: We can solve the given problem as follows:

Q: Find a vector a that has the same direction as (-8, 5, 8) but has length 3. Answer: a =

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Q: Find the unit vector of A=3ax+2ay-3az

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Q: If A is (3,5,0), B is (-1,-2,7), and C(6,1,3) forms a triangle. Find the vector component of CB…

A: let a,b,c are position vector of point A,B,C respectively. Therefore a=3i+5j, b=-i-2j+7k c=6i+j+3k…

Q: Which of the following vectors is the scalar multiple of z-(4, 3, -2) ? Ou- (-28, -21, -14) Ou-(-24,…

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

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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

Q: Find the magnitude of the vector. (-3, – 7)

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

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Q: Determine the tail of the vector whose head is(1, 2). Make a sketch.

A: Given the vector 26 and tail of the vector is (1,2). We need to find the head of the vector.

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

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Q: What is the component form of the vector represented by 8a when a = (-5, 3)? Enter the answer in the…

A: Scale product of the vector

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: 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: 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: Ier. 3. Find the equation of the line through the point (0, 1, 4) and perpendicular to both the…

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

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Q: 2 Quadrilateral QRST shown in the graph is translated along the vector (-6, 3) and then reflected…

A: Given quadrilateral is

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: give vector form for the solution

A: Here we have to find the vector form

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

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Q: Determine the head of the vector;whose tail is (−3, 2). Make a sketch.

A: Consider (x, y) as the head of the vector. Then  -25=xy--32-25=x+3y-2

Q: of each pair of the given vectors -2 -4 6 -6 V2 -2 -1 2 8 7

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Q: Are the vectors -5 -3 and 4 linearly independent? Choose If they are linearly dependent, find…

A: Here we have to check the given vectors are linearly independent or not.

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

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Q: 9. What is the component form of the vector that translates the top triangle to the bottom triangle?…

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Q: 1. Find all solutions to the vector equation (:) --( ) --( ) -()--() 14 22 12+

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Q: Determine the tail of the vector whose head is (1, 2). Make a sketch.

A: Consider the provided vector, 26 Whose head is 1,2. Determine the tail of the given vector.

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

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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: We need to find vector.

Q: Each unit on a trail map is equal to 1 foot. A hiker is at map coordinates (450, 700), and the park…

A: Let's find.

Q: Find the coordinate vector of [3, -4, 7]

A: We have to find the coordinate vector of (3,-4,7) relative to the ordered basis B. Since (a,b,c) is…

Q: ent vectors are wA (5, 10) and wB = (10, 5). Solve for the market %3D

A: Sol

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…