Using dot product to determine if two vectors are orthogonal

Q: Vectors u and v are given. Calculate the dot product u · v. u = (8, 4, -1), v = (-1, 4, 8) U:V =

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Q: 36. v = 12i – 5j, w = -3i – 4j

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Q: Dot product from the definition Consider the following vectors u and v. Sketch the vectors, find the…

A: Given,  u = 4 i    and    v = 6j

Q: Orthogonal vectors Find a vector orthogonal to the given vectors. ⟨8, 0, 4⟩ and ⟨-8, 2, 1⟩

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Q: Computing cross products Find the cross products u × v and v × u for the following vectors u and v.…

A: u = ⟨-4, 1, 1⟩, v = ⟨0, 1, -1⟩ We need to find the cross products u × v and v × u for the given…

Q: Cross products from the definition Sketch the following vectors u and v. Then compute |u × v| and…

A: Given : u=0,-2,0           v=0,1,0Find : Cross  product of u and v  u x V         Sketch the graph…

Q: Topic is Inner product:  Find a unit vector in the direction of the given below a. ) u = (5,3,-2)…

A: We have to find the unit vector in the given directions . a. )   u=(5, 3, -2) b. )  v=(1, -1, 2)

Q: Using dot product find cos for the vectors u = (1, -3, 4) and v = (3,4, 7).

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Q: Orthogonal vectors Find a vector orthogonal to the given vectors. ⟨1, 2, 3⟩ and ⟨-2, 4, -1⟩

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Q: Calculate the cross products of the unit vectors i × k and k ×j. (Give your answers using component…

A: We have to write value of cross product of I x k and k x j

Q: Investigate the dot products a. (a x b) and b. (a x b) for any two vectors a and b in three-space.…

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Q: (Vector calculus)Find the area of the triangle determined by the point P(-2,2,1), Q(1,0,2) and…

A: Explanation of the solution is given below....

Q: Orthogonal vectors Find a vector orthogonal to the given vectors. ⟨0, 1, 2⟩ and ⟨-2, 0, 3⟩

A: We have to find a vector which is orthogonal to the given vectors. 0,1,2 and -2,0,3

Q: (a) Find the dot product v w; (b) find the angle between v and w; (c) state whether the vectors are…

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Q: Define the scalar product of two vectors (show both methods, algebraic (using components) and…

A: Algebraic: Let, two vectors A→ and B→ are expressed in terms of unit vectors i^,j^,k^ along the x,…

Q: Computing cross products Find the cross products u × v and v × u for the following vectors u and v .…

A: we know that for any two given vectors p=a1,b1,c1,q=a2,b2,c2 cross product is given by…

Q: Zha begins 7 kilometers to the north of town, and rides his bike along a straight trail which leads…

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Q: a. u• v, |v|, [u| b. the cosine of the angle between u and v. the scalar component of u in the…

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

Q: 24. Diagonal of parallelogram Show that the indicated diagonal of the parallelogram determined by…

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Q: Find the magnitude of the cross product of the given vectors. Display the cross product and dot…

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Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between…

A: We have to find the dot product of the vectors and angles between the given vectors: u=4i+3j and…

Q: Angle Between Vectors T Find the angles between the vectors 9. u = 2i + j, v =i+ 2j –k 10. u = 2i –…

A: Topic- Vector  As per our guidelines we are supposed to answer only one question.* *Kindly repost…

Q: Computing cross products Find the cross products u × v and v × u for the following vectors u and v.…

A: Vector calculus:u=2i+3j-9kv=-i+j-ku×v=ijk23-9-11-1

Q: Computing cross products Find the cross products u × v and v × u for the following vectors u and v .…

A: It is known that for the vectors of the form u=u1, u2, u3,v=v1, v2, v3, its cross product is given…

Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between…

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Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between…

A: Solution:- . Compute the dot product of the vectors u and v, and find the angle between the vectors.…

Q: Dot product from the definition Consider the following vectors u and v. Sketch the vectors, find the…

A: Given that : Dot product from the definition Consider the following vectors u and v. The dot product…

Q: If vector a= and vector b=, find a · b (the dot product of vector a and vector b).

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Q: Two vectorsu and v are given. Find their dot product u · v. u = (-2, 0, 2), v = (2, 3, ) %3D

A: Given that u=-2, 0, 2v=2, 3, 12To determine u.v

Q: Vectors u and v are given. Calculate the dot product u · v. u = (8, 0), v - (7, 7) u.V =

A: Given: u=8,0  v=⟨7,7⟩

Q: Dot product from the definition Consider the following vectors u and v. Sketch the vectors, find the…

A: Given: u=-3,2,0 and v=0,0,6

Q: Cross products of unit vectors Evaluate all the cross products among the coordinate unit vectors i,…

A: Given- coordinate unit vectors i,j and k. To find-  all the cross products among the coordinate unit…

Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between…

A: Our Aim is to compute the dot product of the vectors u and v, and find theangle between the vectors…

Q: Find the vector w of length 4 in the direction of v = 7i + 4j. (Give your answer using component…

A: NOTE: Refresh your page if you can't see any equations. . find the norm of the vector

Q: Zha begins 7 kilometers to the north of town, and rides his bike along a straight trail which leads…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: Find the cross product a x b where a (-2, 2, 0) and b = (-4, 1, –1). %3D ахь- Find the cross product…

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Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between…

A: Given that,  u→= 2i - 3k = (2,0,-3)v→= i+4j+2k = (1,4,2) Therefore the dot product between these two…

Q: vector x = (-1.5  -2.5  -0.5) vector y = (-2  1  0) Evaluate the Scalar product of x and y

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Q: Vector W is in standard position and makes an angle of 180° with the positive x-axis. Its magnitude…

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Q: How do you find the vector that goes from a point A to another point B ? O You find the cross…

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Q: linear algebra  Determine the unit vector perpendicular to the vectors a=i-2j+3k b=3i-j+2k

A: Vector is a quantity which has both magnitude and direction. And unit vector is defined as the…

Q: 42. Area of a Parallelogram Find the area of the parallelogram determined by the vectors u = (4, 1,…

A: Area of parallelogram = u X  v

Q: Computing cross products Find the cross products u × v and v × u for the following vectors u and v.…

A: Given, u=<3,5,0> v=<0,3,-6> As we know Cross products  If u and v are vectors then,…

Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between…

A: Given vectors are u = ⟨10, 0⟩ and v = ⟨-5, 5⟩ The expression for the dot product of the vector 'v"…

Q: (Cross Product) Find a vector that is perpendicular to a = and b = %3D %3D

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Q: Cross products from the definition Sketch the following vectors u and v. Then compute |u × v| and…

A: It is given that two vector are u→=4j  and v→=-8k Find cross product :…

Q: Compute the following cross product. Then make a sketch showing the two vectors and their cross…

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Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between…

A: The two vectors are given as u=i-4j-6k  and  v=2i-4j+2k. To find the dot product and angle between…

Q: Dot product from the definition Consider the following vectors u and v. Sketch the vectors, find the…

A: Given the vectors u=<-3,1> And v=<3,1> The vectors are drawn in the figure. As there…