Consider the vector 4 v = 4 Find two vectors w1, w2 ER° such that: • Both w1 and w2 are orthogonal to v. • w1 and w2 are linearly independent. Enter the vector w1 in the form [c1, c2, C3]: Enter the vector w2 in the form [d1 , d2 , d3]:

Q: Consider the following vectors. u (6, –5) and v = (9, 1) u + v = (12, – 3) | (c) Find 7v – u. 7v – u…

A: By algebra of vectors we solve the this question.

Q: Determine for the two vectors: x = ai+bj+ck and y = ditej+Xk where a = 2.7, b = 4.5, c = -3.4, d =…

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Q: For the pair of vectors, find U+V, U-V, and 4U+3V U= 2i+5j, V= 5i+2j

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: MNPQ is a parrallelogram and R is the intersection point of the diagonals MP and NQ. Let vector U =…

A: Step 1:parallelogram law -MP=MQ+QP=u+vand NQ=MQ+MN=u+v Step 2:…

Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), u = (5,2,…

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Q: A vector is A=3i+7j and B vector is B=2i-5j+2k. C vector is C=A+B where ij,k are the unit vectors of…

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Q: Let i = [-1 4] and j = [-4 1]. Find the following vectors. i = 62 i = -6j = | w = 62 – 6ỹ = = [ -

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Q: : For given vectors, a-2i - j+ 2k and b=-i + j- k, find the unit vector in the direction the vector…

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Q: b Find all vectors W (W₁, W2, W3) that satisfy the equation: (3,1,4) x W = (-3,1,2).

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Q: given u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  determine a,b so that v are parallel vectors

A: Given that, u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  We have to determine a,b so that u and v are…

Q: Which of the following pairs of vectors are perpendicular? -/2 > and O A | -12 > and OB. - 2/2 >…

A: We need to find the pair of vectors which are perpendicular. This can be done as follows:

Q: A monomial always has a degree of 1. O True False

A: Given, statement is false. Because A monomial is a expression in algebra that contains only one term…

Q: Use the vectors v=-2i+j and w=4i+3j to find: v + w

A: v=-2i+j and w=4i+3j

Q: Find the value of a such that the vectors a and b are perpendicular where a = a î - 16 ĵ - 19 k and…

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Q: For the three given vectors, either show that they are linearly independent or find a nontrivial…

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Q: If --0--0---0 1 and v3 = 0 then the vectors V1, V2, and v3 are linearly dependent. Select one: O…

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Q: Find the triple scalar product (u xv). w of the given vectors. u= -51-3j+4k v=8i-10j + 2k w=31-6j-7k

A: The given vectors are u=-5i-3j+4k, v=8i-10j+2k and w=3i-6j-7k. We have to find the value of the…

Q: Find vector c = 3u – v, if u = and v =.

A: Given u = 2i - 7j + 3k and             v = 0i + 4j -  k = 4j - k Now vector c = 3u - (1/2)v c = 3(2i…

Q: Let P be the point (1, –3, 0) and ū be the vector ī = (-3, 6, 2) %3D • Find the point 1 unit away…

A: Given: The point P=(1,-3,0) and the vector v→=-3,6,2

Q: Find a unit vector v = (v1, v2, Vz3) that is orthogonal to both vectors ā = (1, 2, 0) and b = (2, 1,…

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Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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

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Q: Find the coordinate vector for p relative to S = {p1.P2-P3} p= 7+ 2x +x²; p1= 1, p2 = x, P3 = x2…

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