a. Find the cross product u x v. Express the answer in component form. b. Sketch the vectors u, v, and the resulting uxv vector. 1) u =(2, 0, 0), v = (2,2,0) 2) u =(3, 2,-1), v = (1, 1, 0) 3) u =2i + 3j, v=j + 2k

Q: Find the value of a so that the vectors a = (34, -22, 49), b= (5, 51, 35). and c = (a, -394, -14)…

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Q: 2 Write the vector x= as a linear combination of the vectors -1 1) u=0 |, v=| 1 w= 1 1 N O H O O

A: Consider x = au+bv+cw then 20-1 = a100+b110+c11120-1 = a+b+cb+cc On comparing the coefficients , we…

Q: u = (1,2, 0), v = (-1,4, 1)

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Q: Let J = 31 +43 - K and ✓ = 2₁ +3₁-2k be of two vectors. Find the component and projection U in the…

A: u→=3i+4j-k,v→=2i+3j-2k

Q: A vector has initial point (−11,−12) and terminal point (20,−19) The component form of the vector…

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Q: Compute the following, then sketch each resultant vector. u=(0, -7),v =(-8, 8) (a)u+v=  (b)u-v=…

A: Given vectors:u=(0,−7)v=(−8,8) (a)   u+v:u+v=(0,−7)+(−8,8)u+v=(0+(−8),−7+8)u+v=(−8,1) (b)…

Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

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Q: Find the cross product of the vectors ä = and b = .

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Q: Find the unit vector parallel to the sum of the vectors a [2, 4, -5], b = [1, 2, 3]. a.

A: Two given vector are ; a= 2i + 4j - 5k b= 1i+ 2j + 3k Resulting of vector a  & vector b  R= a+ b…

Q: Let v be the vector from initial point P₁ to terminal point P₂. Write v in terms of i and j. P₁ =…

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Q: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point…

A: Find the vectors u and v whose initial and terminal points are given.        Initial Point  Terminal…

Q: Find the component form of v and sketch the specified vector operations geometrically, where u = 3i…

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Q: : (2,1,2). 1- Find the unit vectors u1 and u2 in the directions of v = (1,3) and w = Find unit…

A: If we have a vector u=a,b,c, then the unit vector that is in the direction of vector u is the vector…

Q: Find the unit vector Â, B, the dot product À. B, and state whether these 2 vectors are orthogonal,…

A: Given vectors are- A→=3,-2 and B→=2,4 To find the unit vector A^, B^ and dot product A.B Unit vector…

Q: Express the vector v with initial point P and terminal po P(-9, -7), Q(-3, -3)

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Q: Find a unit vector n with the same direction as the vector v = 3i + 6j − 2k. Explain please.…

A: The answer provided below has been developed in a clear step by step manner.