Q1/perpendicular vectors 5i – j + k, v = i - 5k, w = -15i + 3j 3k. Which vectors, if any, are (a) per- pendicular? (b) Parallel? Give reasons for your answers?

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

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Q: Two forces of 268 pounds and 487 pounds act at the origin and make angles of N 56 o E and  N 22 o E…

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Q: Vector A is 35 m long and makes an angle of 60° clockwise from the positive Y-axis. Vector B is 55m…

A: We have given a vector A of magnitude 35 m and makes angle 60∘ from the positive y-axis i.e. 30∘…

Q: 10 Find the vector equation of a line whose symmetric equations are z-1 y+3 %3D 3. -4 Express your…

A: To find the vector equation of a linewhose symmetric equations are   x-12=y+33=z-1-4.

Q: Three vectors are defined by position vectors defined ā= 3i – 5j- 6k, b= -4i – 2j+ 7k and č = xi-…

A: Here assume that, (x,y,z)=(2,4,6)

Q: Q / Determine the value of b so that vectors 4 = 49-593 V=-2₂0₂-5 w=bs 1, 6 lg are in the Same Plane

A: We have given that the vectors ,  u = 4 , -5 , 3  ,  v = -2 , 0 , -5  ,  w = b , -1 , 6 We know that…

Q: Q1, Find Parame tric equations for the line through the Point (0,1, 2) that is U =i +2} + 3k and ū=…

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

Q: Find the angle between the vectors u = (-3,1,–2) and v = (-7,-5, 2) %3D

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Q: Do the vectors (1, 0, 0), (0, 1, 0), and (2, 3, 0) lie on the same plane? Briefly explain how you…

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Q: What is the angle in radians between the vectors а %3 (6, 8, -2) аnd b = (-7, 7, 0)? Angle:…

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Q: Find the area of the parallelogram that has the given vectors u = j,   v = j + k as adjacent sides.…

A: Known facts: The area of the parallelogram that has the given vectors u  and v as adjacent sides is…

Q: What is the volume of the parallelepiped with sides 6i + 9j + 5k, 2j + 5k, and 10k? volume = Find a…

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Q: Detexmineik the indipendent Toshy Vectors ase lineasly answer, -1 -2

A: Given vectors are  -14, -2-8

Q: Find two unit vectors orthogonal to a = (1, 1, 1) and b = (-4,0, 1) %3D Enter your answer so that…

A: Given,           a=<1,1,1> and b=<-4,0,1>

Q: How do I find a vector b where, ||b|| = 9 direction =

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Q: Find a method that uses the Dot-Product to decide for three randomly chosen points P, Q, and R in…

A: Let us sketch a figure relating to the problem

Q: Consider the two-dimensional vectors a and b. a = ,  b = Find the measure of the angle ? between a…

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Q: Find the area of the parallelogram that has the given vectors u = ⟨2, −1, 0⟩,     v = ⟨−1, 2, 0⟩ as…

A: Given vectors as adjacent sides are u=2,-1,0, v=-1,2,0.

Q: Hoing vector methods show that the sum of the square) of tle lenghts of the diagurals ofa parall…

A: Given: A parallelogram. To prove: The sum of the squares of the diagonals of a parallelogram is…

Q: The temperature, in degrees Celsius, at a point (x,y) on a metal plate is given by T(x,y) = 20-4x^2…

A: Given Temperature on a metal plate at point (x,y)T(x,y)=20-4x2-y2

Q: direction as the vector from the point ?=(0,3) to the point ?=(−2,−2)?

A: Given query is to find indicated vector.

Q: i set of vectors {ü, v} in R* that spans the solution set of the equations w – x + 2y + 3z 5w + 2x +…

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Q: ppose u = (-2, –1) and v = (-3,–9) are two vectors that form the sides of a parallelogram. Then the…

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Q: How can you tell when vectors span a certain R^? Please explain in the most simplistic detail>

A: Let S=v1,v2,v3 And v1=1-12;v2=213;v3=-102 Does SpanS=ℝ3? if any vector in ℝ3 can be expressed or…

Q: Two force vectors act on an object and the dot product of the two vectors is 20. If both of the…

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Q: Find the equation for the plane through the point Po= (9,2.5) and normal to the vector n= 31 + 10j +…

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Q: 18. A child throws a ball with a speed of 5 feet per second at an angle of 54° with the horizontal.…

A: Given Speed of a ball =5 feet per…

Q: Add the vectors ú (0, 3) and v = ( – 2, – 1) graphically.

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Q: 8

A: Given vector is v→=8-7-5 We have been asked to find two linearly independent vectors that are…

Q: What does it mean in vectors when it says for example ||u|| or ||v|| (specifically the double lines…

A: Given as

Q: Find the angle between the vectors i [- 9,1, 3] and i [0,2, – 5]. %3D

A: here we have to find the angle between the two vectors. the soltion is following.

Q: The vector from the origin to point A is given as 6ax – 2a, – 4a-, and t unit vector directed from…

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Q: The vector (1, 0, 0) makes a 45 degrees with the vector (x, y, z). What is the relationship between…

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Q: Find two unit vectors orthogonal to both (4, 6, 1) and (-1, 1, o). (smaller i-value) (larger…

A: The cross product of two vectors is perpendicular to both of them. So two unit vectors to the…

Q: Cross-product of vectors   ⟨2,−1,3⟩×2⟨4,2,1⟩=?

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Q: B: Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3) (

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Q: Two vectors with forces of 96 newtons and 74 newtons act at a point. Use the parallelogram rule to…

A: Explanation of the answer is as follows

Q: Show that the order of addition of two vectors does not affect their sum. Show this property by…

A: Consider two vectors A and B having the values. A=2i+3j+6kB=5i+9j+11k These two vectors have…

Q: Q3\ Find the measures of the angles of the triangle whose vertices are A = (-1, 0), B = (2, 1), and…

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Q: Find unit vectors that satisfy the stated conditions. Edit NOTE: Enter the exact answers in terms of…

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Q: I’ve gotten this far already. I need help finding a non-zero vector that is orthogonal to both…

A: Two vectors are said to be orthogonal to each other if their dot product is zero. we need to find a…

Q: A small plane is flying horizontally due east in calm air at 275 milhr when it is hit by a…

A: Topic - vectors

Q: A small plane is flying horizontally due east in calm air at 175 mi/hr when it is hit by a…

A: Plane is flying horizontally du east calm air at 175 mi/ hr. Hence, Vplane=175i Now, horizontal…

Q: Vector A has a magnitude of 3.4 units while vector B has a magnitude of 5 units. If the cross…

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Q: vector. 19. —3і + 7j 20. (-4, 2, 4) 21. 8i – j + 4k |

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Q: s opposite or equal vectors?

A: Consider the given information as Are parallel vectors always opposite or equal vectors

Q: OL a, b are the vectors Iedtenmined by tuoo adjacent Sides et a regular hexagon, what are the…

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Q: b) Find two unit vectors that are perpendicular to both vectors i = (2,0,–1) and ỹ = (-3,–4,1). Are…

A: The cross product of two vector is perpendicular to both of the vectors. The cross product of the…

Q: Notice that vector v shows a direct path from the initial 6. point (0,0) to the terminal point…

A: See this solution in below

Q: Explain how two vectors are summed (added). How must the vectors be physically arranged? Draw a…

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.