vector& scalar If we have the following points: B(-4,1) A3,5) A+B=(3-4,1+5)=(-1,6) How are the four operations on points A if we consider point A(x,y) Question: How do we draw these results on the following figures? 1- a square 2- a triangle 3- a rectangle 4- a cube. in optional coordinates

Q: *₁ = (1, 2, 3), 2 3. Find the angle between the two planes 3x + y + z = 4 and 2x + 3y + 2z = 3 using…

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Q: The plane passing through the three points A(4, –3, –4), B(-4, –3,2) and C(-3,3, –2) can be…

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Q: Find the area of the triangle with vertices (1, 7, -9), (-2,-2,-9), and (-3, 1, -8). Then find both…

A: The Given vertices are:-   A1,7,-9, B-2,-2,-9, C-3,1,-8   AB→=-2-2i⏞+-2-7j⏞+-9+9k⏞ AB→=-4i⏞+-9j⏞+0k⏞…

Q: Q4) Let vector A = 2i+3j , vector B = 2i- %3D 2j, and vector C = (-A) - (2B) . (a) Write %3D vector…

A: Given the vectors      A=2i+3j, B=2i-2j and C=(-A)-(2B)

Q: Are the vectors and linearly independent? 3 Choose f they are linearly dependent, find scalars that…

A: We want to find the vector are linearly dependent or independent.

Q: Vector M of magnitude 4.8 m is at 60° counterclockwise from the +x-axis. It is added to vector N and…

A: Consider that the sum of Vector M of magnitude 4.8 m is at 60° counterclockwise from the positive…

Q: Scalar Product Suppose then and also Example 1 Given that -2+4 and --3+24 find the angle between the…

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Q: Vector u has a magnitude of 28 and a direction of 60 degrees. Vector v in component form is (c,…

A: Given that,

Q: Triangle ABC is formed by three lines: (;)-(9) +-(;) - (AB) is 3 +r (AC) is and 6 -2 2 1 (;) - (")…

A: We are only allowed to solve one question at a time and up to three sub-parts. Please post the…

Q: DO QUESTION/PART (2) AKA THE BOLDED PART   (1) Choose two vectors v1, v2 in R^2 and another vector…

A: Suppose let us pick two vectors v1 , v2 and b as follows: v1=2, 3, 11 , v2=9, 4, 3 and b=13, 6, 3…

Q: Vector A, vector B, and vector C are drawn to scale in the figure below. The vector A is 5.3 meters…

A: The given figure shows three vectors A,B,C. These three vector have their angle measured from…

Q: The intersection of the two planes given by the vector equations -2 r. -2 = -5 -1 and -4 r. -4 = -2…

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Q: 6. Vector, scalar or meaningless? Explain. ») (ä - 5) + (7 - E) b) (å x 5) – (¿ x đ) c) dlã x )

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Q: Vectors A→ and B→ lie in an xy plane. A→ has magnitude 7.0 and angle 111o; B→ has components Bx =…

A: A→ = 7.0θ = angle made with x-axisθA = 1110  Ax = A→cosθAy = A→sinθA→   =  A→cosθ i^ +  A→sinθ j^A→…

Q: Are the vectors linearly independent if they are linearly dependent, find scalars that are not all…

A: A detailed solution is given below

Q: Scalar product of two vectors is -3.0 and magnitude of cross product of two vectors is 5.2.…

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Q: 4 Are the vectors and 2 linearly independent? Choose If they are linearly dependent, find scalars…

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Q: se symmetric equations to find a convenient vector V12 that lies between any two points, one on each…

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Q: 1-4 - Operations with Vectors Find u|, u + v, u - v, 2 u, and 3u - 2 v. 1. u = (-2, 3), v= (8, 1) 3.…

A: 1). Given vectors are u=-2,3, v=8, 1. To find: u, u+v, u-v, 2u and 3u-2v. Solution: We have u=-2,3…

Q: 1 -2 3 8. The vectors -4 and span -3 9 а. the entire R³ b. a plane in R³ с. a line in R³

A: see below the explanation

Q: 5. (a) What is a vector in space? How do we represent a vector in a three-dimensional coordinate…

A: As per guidelines, we are supposed to solve only first three subdivisions. Please repost other…

Q: Equation of the plane passes through the point (1, 2, 3) and parallel to the vector A= 2i+3j :+k and…

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Q: (a) Find symmetric equations for the line that passes through the point (2, -5, 9) and is parallel…

A: To find: (a) The symmetric equations for the line that passes through the point ( 2, -5, 9) and…

Q: 2. A vector A in the xyz coordinate system is given by: A = 2i + 3) – k. Determine the vector in the…

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Q: The plane passing through the three points A(0, 1,3), B(3,4,3) and C(2,3, –1) can be expressed as a…

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Q: 2. An archer shoots an arrow from a tower to a distant target. Assume that the position of the a…

A: Given position of the arrow x(t), y(t)=50t, 18t-3t2+48 where 't' is in seconds. We know at the…

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1) c) is…

A: Concept: The equation of the line segment parallel to the given axis and passing through the point…

Q: Your drone sits at the origin of your chosen coordinate system, (0, 0, 0) m. You fly it from there…

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Q: Two forces are acting on a point. The first force has a horizontal component of 5 newtons and a…

A: The complex number z=x+iy can be plotted in the complex plane by moving x units along the real axis…

Q: Your answer is incorrect. If L is a line in 2-space or 3-space that passes through the points A and…

A: Explained below

Q: Three forces P, Q, R act along the sides of the triangle formed by the lines x + y = 1, y -x-1,y 2.…

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Q: The intersection of the two planes given by the vector equations -2 r. 1 = -2 | and -4 r. = -5 | is…

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Q: Two vectors were acting together on a certain point (point A); force T and force K. Force T can be…

A: The vector for the points can be obtained from the points joined by the vectors. The direction…

Q: 3. A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

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Q: Vectors are an important part of the language of science, mathematics, and engineering. They are…

A: The given vector is F.

Q: 4. Vector A S has a magnitude of 35.0 units and points in the direction 325° counterclockwise from…

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Q: The line l passes through the points A and B which have position vectors 2i – 3j+k and z-3 3i-j…

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Q: Express the vector - 31 + 6j - 6k as a product of its length and direction.

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Q: а. Two vectors A and B are given at a point P(r, e, ¤) in space as А %3D10а, + 30а, -10а, | В 3D -…

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Q: Vector á lies in the yz plane 49.0° from the positive direction of the y axis, has a positive z…

A: The a→ lies in the yz-plane with 49° from the positive direction of the y axis, and positive…

Q: If the line passes through the point (4,2,3) is parallel to the vector V = i +4j-2k : a) Find a…

A: We will find out all the required values.

Q: (a) Find symmetric equations for the line that passes through the point (4, –3, 9) and is parallel…

A: Given: a)- The line passes through the point 4,-3,9 and is parallel to the vector -1,2,-3. The…

Q: Vector M of magnitude 4.8 m is at 60° counterclockwise from the +x-axis. It is added to vector N and…

A: Given that, M→=4.8 m and θ=60°. Let the resultant t vector be R. R→=4.8 m and θ=40°. So, component…

Q: Three forces P, Q, R act along the sides of the triangle formed by the lines x + y = 1, y -x%-1, y =…

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Q: L is a line in 2-space or 3-space that passes through the points A ano B, then the distance from a…

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Q: Vector v1=[1, 1, 2]T, vector v2=[0, 1, 1]T, vector v3=[-1, 2, 0]T Transformation f : R3 -> R3 is…

A: Given vectors are v1=112, v2=001, v3=-120 Transformation is f:R3→R3 as follow f(v1)=-963T,…

Q: Multiplicative Vector Problems These problems share the same set of vectors (and the same as the…

A: The given vectors: A→=1.200m (x∧)+3.90m (y)∧B→=4.000m (-x)∧+5.60m (y)∧ C→=1.200m (r∧)+140.00° (θ)∧…

Q: (a) Find symmetric equations for the line that passes through the point (3, -4, 7) and is parallel…

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Q: Question Help ▼ 4 8 Given A= 1-3 observe that the first column plus twice the second column equals…

A: Given that  The first column plus twice the second column equals the third column. To find a…