If the line through the point (3,-4,-1) and parallel to the vector i+j+k. The equation of the line is t+3, t-4 , t-1. False O TRUE

Q: If w = -2i + 6j, find the following vector: 2(-2) + 4(-6) W.

A: Given: The vector w=-2i^+6j^. w2 can be calculated as, w2=-22+622        =402       =2102…

Q: Let L7 be the line passing through the points Q1=(5, -5, 4) and Q2=(6, -7, 6). Find a value of k so…

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Q: Which of the following vectors is parallel to the line 7x+ 14y = 20? %3D (-6,3) (8,-16) (2,4) 0.…

A: We first find the slope of the line using y=mx+b form

Q: The vector equation for the line segment that joins the point P(1, 3, –2) to the point Q(2, – 1, 3)…

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Q: Write down in normal form the equation of the line which is (a) parallel to the line r (5i +3j) = 2…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2. Use the given equation of a line to find a point on the line and a vector parallel to the line.…

A: Given query is to find the point and the parallel vector.

Q: parallel

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Q: 2. Use the given equation of a line to find a point on the line and a vector parallel to the line.…

A: topic - point and vector parallel to line

Q: 2. Use the given equation of a line to find a point on the line and a vector parallel to the line.…

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Q: Ux the fact that х у 1 a b 1-0 a b 1 to deiermine the equation of the line passing through the…

A: Let (x,y) be a point on the line connecting the points Now if  they are on the same line, the area…

Q: Find an equation of the line L that passes through the point  (−2, 6) and satisfies the given…

A: Given,            The line L that passes through the point (−2, 6).Since, L is perpendicular to the…

Q: Suppose that bæ – ay = c is the equation of a non-vertical line. Find the slope of this line. Slope…

A: As per the given data, the line is not vertical meaning the equation is not of the form x=constant.…

Q: Sketch a graph of each vector. 11) b=(-2V2,-1) 12) RS where R= (-6, 1) S= (-8,-10)

A: Solution (11.)

Q: Find the acute angles between the lines y = √3x - 1, y = -√3x + 2 Find the length and direction…

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Q: Which equations below are parallel to the line 6x - 9y = 36 a. 2x = 3y b. 2у 3D 3х +24 2x + 3y = 0…

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Q: Given that - (1, 2, 3) and - (4. 0, – 4) find the vector where %3!

A: In this question we have to find the vector z.

Q: If ||v|| - 10 and 0 = 120°, find the component form of the vector. O O O O

A: We have to find vector components

Q: The distanced of a point P to the line through points A and B is the length of the component of AP…

A: Answer

Q: If the line through the point (3.-4,-1) and parallel to the vector i+j+k. The equation of the line…

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Q: Find a vector perpendicular to the lines: 4₁: x = 3-4t y=-2-6t x = -1 + 2t y=4-t L₂: O O None of…

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Q: Given the points A: (-4,6,2) and B: (-1,5,-3), find the vector ū AB

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Q: A ship "A" started sailing N40°32'E, at the rate of 3 mph. After 2 hours, ship "B" started from the…

A: Given:…

Q: Which of the following Is a direction vector for the line through A(5, -3) and B(-1, 2)? Select one:…

A: For the direction vector, we just find out the direction of the given point.

Q: The equation of the line segment from A(3, – 4,4) to B(5,2,5), 0<t<1 is a. r= (3+ 2t)i +(- 4+6t)j+(4…

A: Topic = vector  correct option 'a'

Q: Q:2) Find a vector that is parallel to the line whose equation is 5x-4 4-2z = 3 - 6y = 7 5

A: The given problem is to find the vector that is parallel to given parametric line equation, we have…

Q: For the line that contains the points P(-1, 2, 4) and P2(3, 4, 7), find a) a direction vector. b) an…

A: The line contains the points P1-1, 2, 4  and  P23, 4, 7. a). Direction vector is, P1P2→=3--1, 4-2,…

Q: Two vectors ñ and m are said to be parallel if n-m-0

A: False

Q: = Find the vector equation for the line passing through the points P₁ P₂ = (2,7-13). (5,-1,-5) and

A: The given points are;  P1=(5,-1,-5) and P2=(2,7,-13).

Q: Given the points A(3,5) and B( – 3, – 7), find d. the scalar equation of the line.

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Q: Suppose a line is given parametrically by the equation L(t) = (5,-5,-3t,3t). What vector and point…

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Q: Let L, be the line passing through the point P1=(-1, -2, -2) with direction vector d-[-3, -3, 1]",…

A: L1 is the line passing through the point P1(-1 , -2, -2) with direction vectord→ = -3, -3, 1Tand L2…

Q: Given that - <1, 2. 3) and - (1.0. -4) (4. 0. -4) find the vector where 2+-w+3Z=0

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Q: 13. Given the points A(3,5) and B( – 3, – 7), find a. the vector equation of the line.

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Q: Find the equation of the line that goes through the point A = (5, –3, –4) and is parallel to the…

A: Given that the line passes through the point A=5,-3,-4 and is parallel to the vector  v=-2,4,3 The…

Q: Find the equation of the line that passes through the point ( 8, 8, 2) and parallel to the vector .…

A: The vector equation of the line which is passing through the point (h, k, l) and parallel to the…

Q: For the line €: (x, y, z) = (5, - 3, 2) + n(1, 2, - 2), find a) a point of the line. b) a direction…

A: Given parametric equation of line - x, y, z = 5,-3, 2+n1, 2,-2x, y, z = 5,-3, 2+1n, 2n,-2nx, y, z =…

Q: If A = ( - 1, 2) and B = (3, 4), find AB and redraw it (a) in standard position and(b) with its tail…

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Q: Let / be the line through the point with coordinates (-1,2,0) in the direction of the vector Which…

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Q: Find the vector form of the equation of the line in R2 that passes through P = (2, -1) and is…

A:

Q: For the line €: (x, y, z) = (2, 3, 4) + n(3, - 2, 5), find a) a point of the line. b) a direction…

A: the given line is: l:x,y,z=2,3,4+n3,-2,5 we have to find: (a) a point of the line. (b) a direction…

Q: For what values of a and B will the vector (a, 1, B) be orthogonal to (4, 0, 3) and (-1, 1, 2)? a =…

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Q: Given the two points A(1,2,3) and B(2,-3,4) which of the following is the vector equation passing…

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Q: Find the vector equation of the line (d) through (6, −3) and parallel to the line through (5, −1)…

A: First, we find the slope of the line  through (5, −1) and (2, 11) Direction vector is=(2, 11)-(5,…

Q: Eind the equations of the line that passes through point A(0, 1, 2) and is parallel to the vector 7…

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Q: Find the distance from the point P(-1,3,-5) to the plane through the three points Q(3, 1, -3). R(4,…

A: The points passing through the plane are: Q3, 1, -3R4, 6, -5S5, -4, -6

Q: Find an equation for the line through P(11,10) parallel to vector v=2i-3j

A: Given point on the line is P(11,10) The vector parallel to the line is,v=2i-3j

Q: For what values of a, b, and care the vectors (2a-b,a-2b,6) and (-2,2,a+b-2c) equal?

A: The given vectors are 2a-b,a-2b,6 and -2,2,a+b-2c . Note that, two vectors are equal if their…

Q: Find the vector form of the equation of the line in R2 that passes through P= (2, - 1) and is…

A: If a line is parallel to another line, then they have same slope.