2. Find and simplify the algebraic forms of vector with initial point (-2,-5) and terminal point (3, -2) (a) pointy-bracket form (a,b) (a) (b) ij-form aibj (b)

Q: The component of the vector (-5, 0, –3) onto the vector (3, –4, –2).

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Q: 1 Suppose a line passes through the point (1, 1 and parallel to the 2' 3 plane x + y + z = 0. Then…

A: The direction vector of the normal to the plane is (1,1,1) Given that the line is parallel to the…

Q: Find the plane equation through point (3, -1, 7) and perpendicular to normal vector n = (4, 2, 5)

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Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: Definition used -                       If we have to write a vector as a linear combination of…

Q: 2). Express the vector v with initial point P and terminal point Q in component form. P(-1, 4),…

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Q: 2) L is the line passing through points (0, 0, 0) and (1, 1,1). M is the line passing through (2, 3,…

A: Direction vector of the first line is = (1,1,1)-(0,0,0)= (1,1,1) So the equation of the first line…

Q: B. Find the unit vector with the initial point P(-3,4,1) and terminal point Q(-5,2,2). Then find the…

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Q: A vector orthogonal to the plane through the points (-1,0,0), (0, -2, -2), (2, 3, 4) is < 2, – 10, 6…

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Q: 2- Suppose that vector v has initial point (-4,5) and terminal point (-1,12). a- Find the component…

A: a)A position vector v→ is defined as a line extending from the initial point (x1,y1) to the final…

Q: A vector w has initial point (-4,-3) and terminal point (-5, 2). Write w in component form.

A: Ny using position vector formula, we calculate the required vector.

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: Find the components of the vector whose initial point is (2, 2, 4) and terminal point at (0, 2, 0).

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

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Q: Express the vector of the form v=vi+ v2j + v3k. AB if A is point (-9, -2, 1) and B is point (-4, -9,…

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Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: Write the scalar equation of the line given the normal vector n =[1,−1] and a point Po (-5,1)

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Q: (1 point) Find a vector orthogonal to both (-1,5,0) and to (0,5, 5) of the form (1,

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Q: Sketch the given vector with initial point (4, 1). u = (-5, 3)

A: Here we have to plot the given vector.

Q: 1- Find the direction of the vector with initial point P(-3,4,1) and terminal point Q(-5,2,2).

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

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 line that passes through the point (4, -2,0) and parallel to the vector (1, 2, –3) has symmetric…

A: The solution is given in the next step.

Q: Find the component form and length of the vector v that has initial point (3, −7) and terminal point…

A: Given: Initial point (3,-7) and terminal point (-2,5).

Q: Find the component form of the vector u initial point (3,8,8) terminal point (5,6,10)

A: Initial point of u is (3,8,8)terminal point of u is (5,6,10)

Q: Find the (a) component form and (b) length of the vector with initial point P(-3, 4, 1) and terminal…

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Q: 3) Find a vector equation and parametric equations for the line segment that joins (-2, 4, 0) to…

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Q: A vector whose initial point is at the origin is called ---------------------------- a/an vector.

A: The given statement is " A vector whose initial point is at the origin".

Q: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

A: We have given equation of a plane  92x+133y-16.7z=-8 Comparing this with the equation  lx+my+nz=d We…

Q: Write the equation of the plane with normal vector n passing through point Po in the scalar form ax…

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Q: Suppose (vector u)=(3,-4,-5) and Vector v=(2,-1,2)u+v=?u-v=?v-u=?3u=?(-1/4)v=?2u-3v=?I appreciate…

A: u=(3,-4,-5)v=(2,-1,2)

Q: A vector w has initial point (1, -5) and terminal point (-2, -3). Write w in component form.

A: We find the vector in component form when the initial and terminal points are given by simply…

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: Express the vector v with initial point P and terminal po P(-9, -7), Q(-3, -3)

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Q: (-34,-9)and terminal pointQ-14 Given a vectorv with initial potnt the unit vectorstand i.

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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: 5. Verify that its possible for a line with direction vector J=(2,1,-2) to lie flat on a plane with…

A: The vector equation of a plane is given by the expression . Here, and are the vectors that lie on…

Q: Project the vector b = (1,3,1)" onto the line through %3D a13D (-1,2, 2)Т, (2, 2, –1)", аz 3D az=…

A: Given: Let us assume, b= (1,3,1)T  a1=(-1,2,2)T   a2=(2,2,-1)T   a3=(2,-1,2)T

Q: a) Find vector equation and paramedrie equahion for the line that passes through the point (5,1,3)…

A: The objective is to find the vector equation and parametric equations for the given problem

Q: A vector orthogonal to the plane through the points (-1,0,0), (0,0, –2), (2,3, 4) is О О O 6,-10, 3>…

A: Let, Given vectors are P(-1,0,0), Q(0,0,-2) and R(2,3,4). We have to find non zero vector orthogonal…

Q: The vector (0,0,0) and the vector (0,0,0,0,0) a equal. are True False

A: False

Q: Represent the line segment from P(−2, −3, 8), Q(5, 1, −2) by a vector-valued function and by a set…

A: Represent the line segment from P(−2, −3, 8), Q(5, 1, −2) by a vector-valued function and by a set…

Q: Find parametric equations for lines passing through point Pand parallel to vector n: (а) Р(3, — 1,…

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Q: What parameter value for t must be utilized to show that the point (124,-90) is on the line given by…

A: Given,r→=-2,0+t7,-5r→=-2,0+7t,-5tr→=7t-2,-5t................(1)we…

Q: Express the vector v with initial point P and terminal point Q in component form. P(−8, −7),…

A: Given two points

Q: Let x be the unit vector parallel to the vector from the point (2, 3, −2) to the point (-6,2,2).…

A: To obtain the direction vector of the unknown vector obtain the direction vector of the vector…

Q: 1. The components of the vector, initial point P(-3, 4, 1) and terminal point Q(-5, 2, 2). 2. The…

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Q: 2

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Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

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)…

Q: The normal vector of 2x + 3y - z + 5 = 0 is: O [3, -1, 5] O [2, 3, -1] [2, 3, -1, 5] O (-2, -3, 1]

A: Answer :  From question given that the Normal vector form is  ; 2x + 3y - z + 5 = 0