u = (7, -4), v = (2, 1) a) Calculate projvu. Leave in component form. b) Resolve u into u1 and u2. Leave in component form.

Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: LU, then U is Upper triangular , which means all the entries .below the main diagonal are zero if we…

A: In an Upper triangular matrix ,All the entries above the main diagonal are zero. But it is given…

Q: AB is orthogonal

A:

Q: Find the coordinates of the midpolnt of PQ. (Reviewp. 15 for 4.3.) 9. P(-4,7), Q(1,-5) 8. P(2,-5),…

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

Q: Calculate the component of v = 〈− 2, 1/2 , 3〉along w =〈1, 2, 2〉.

A: Given: Vector, v=-2,12,3 Vector, w=1,2,2

Q: i. bi ii. bo

A:

Q: Determine whether the points are collinear.(−1, −3), (−4, 7), (2, −13)

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Q: Convert the point (r, 0, z) = 5, 3 to Cartesian coordinates. Give answers either as expressions, or…

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Q: Convert the point (r, 0, z) = 37 5, 3) to Cartesian coordinates. Give answers either as expressions,…

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Q: Find mZU. U /3 V m2U = %3D Submit

A: tan x = perpendicular / base

Q: Verify the points (1,5) ,(2,3) and (-2,-1) are collinear or not

A:

Q: Use v=<3/5,4/5>,w=<-4/5, 3/5>, to verify the Parallelogram Law

A: The given vectors are

Q: Find 3 different homogeneous coordinate representations for the Cartesian point (1,-2)

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Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

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Q: What is the staring point of the vector i = -3i + 2j, if the ending point is (-2, 1)?

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Q: Which vector is collinear with [2, -3]? [2, -6] O [-4, 6] O(-2, -3] O [12, 18]

A: We have to find the vector

Q: Write v (2,5, –4,0) as a linear combination of uz = (1,3,2, 1); U2 (2, — 2, -5,4); из %3D (2,…

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Q: Find ||u||, ||v ||, and ||u + v||. -(-1. 금), v-(2.-3) v = (2 - ± ) u = 4 (a) ||u|| (b) ||v|| (c) ||u…

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Q: Determine whether the three points are collinear. 5) (-2,6), (6, 4), (-10, 8)

A: As per our norms we have to write one question at a time kindly repost remaining questions

Q: Determine the figene valves and Vector for 2 A=-1 2 -2

A: (A-λI)X=0 A= given matrix λ=constant I=identity matrix

Q: If vector v is represented by an arrow, how is -3v represented?

A: Given: If vector v is represented by an arrow. To find: How is -3v represented?

Q: photo is attached

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

Q: Determine homogeneous coordinates of the points (3,4) and (1-,7)

A: Homogeneous coordinate:-converting any two dimension coordinate to three dimensional coordinate  (x,…

Q: Find mZU. U 4 V 4. m2U %3D

A: Applying here trigometric ratio

Q: What is the Cartesian product of A = {1, 2} and B = {a,b,c}?

A: Given A = 1, 2   and   B = a, b, c

Q: Write as a line ar Combination of V, ,Vz,V3 where V= (1,5,4) ,V, =(1,3,-2),Vz=(2,7,-1) Vz=(1,6,7)

A: The given vectors are: v=1, 5, 4, v1=1, 3, -2, v2=2, 7, -1 and v3=1, 6, 7 Write the vector v as a…

Q: Determine whether u and v are orthogonal, parallel, or neither.

A:

Q: Which vectors, drawn on a grid from one point (on the "cross-hairs") to another have integer values?

A: Y-component of A →…

Q: Find the area of a triangle with the points A(1,0,0), B(0,1,0), C(0,0, 1) as it vertices by using…

A: Question: Find the area of the triangle with the points A1,0,0, B0,1,0, C0,0,1 as its vertices by…

Q: Determine whether u and v are orthogonal, parallel, or neither.

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Q: How would i determine whether the three points are collinear?   (0,-7), (-3,-21), (2,3)

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Q: Plot the points in same three-dimensional coordinate system and determine whether u and v are…

A: The graph is shown below:

Q: Explain the and differentiate Coordinate between three yotem- Alko describe their application and…

A: In three-dimensional space, There are Three Axes. The Cartesian coordinate system is based on three…

Q: Find the dot product of u = u=(-4,-9) and v=(3,-2)

A: Given: u=(-4,-9)v=(3,-2)

Q: Calculate the dot product of x = (3, -2, 0, 3) E R and y = (1, 2, 3, 4) ER4.

A: The dot product of two vectors x=(a1,a2,a3,a4)  and  y=(b1,b2,b3,b4)in 4th-dimensional space is: x.y…

Q: Determine whether the points are collinear. (4, 12), (-4, -20), (-2, –16) O collinear O not…

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Q: What is the symmetric property

A: The below explanation is the answer.

Q: Find the component of u along v. 3(5,2), v = (3, -4)

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Q: 1. Find the coordinate of the point (2,4) in new system created by rotating the axes by Ø = 30°?

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Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…

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: Determine the length of y = vx – 2 + 1 , 2 < y < 5

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Q: 6. Write as a linear combination of the vectors

A: solving by linear combination of the given three vectors by converting into syatem of equation...

Q: Determine whether the points p(-1,5), Q(2,-4) and R(4,10) are collinear?

A:

Q: Determine whether u and v are orthogonal, parallel, or neither.

A: Given vectors are u=2,18 and v=32,-16 Given vectors can be written as: u=2i+18j and v=32i-16j We…

Q: What is the angle in degrees between the two vectors (2, 4. -1) and (4, 8, -2)? Note that the…

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Q: For the it vectars 0:<2,32, V=L-1, 62, find U+ V, D-V, and pair 20-47

A: topic - vectors

Q: Find x so that (-2, 3), (x, 6), and (8, 8) are collinear.

A: Colinear:  For (-2,3),(x,6),(8,8) are colinear. -231x61881=0