5. Consider the set of vectors B= 8 # and the vector y=-9 a. Show that S is a basis of R³. b. Find the coordinates of y, [y], relative to this basis.

Q: Three points A, B,C in R are given: A = (1,2, 3). B = (2,2, -1). C= (3,1,0). Find the coordinates of…

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Q: find the component form of the e resultant vector if₁ v= and w=. Find la v-swl.

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Q: Find the coordinate vector of A relative to the basis S = {A1,A2‚A3,A4}. 3 4 A1 ,A2 ,A3 = ,A4 = ;A =…

A: The given vectors, S=A1, A2, A3, A4A1=1010, A2=1100, A3=1001, A4=0001; A=3436

Q: Represent the vector with respect to each of the two bases { ] y = B = B2 =

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Q: Let L be the line y = 6 – 4x in R?. Find vectors a and b so that v = a+tb is a vector equation for…

A: Vector equation of line

Q: Consider the points I (15,8) and J (8, 7). Determine a vector, r, in the opposite direction of IJ…

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Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: 7. Find the real part of the dot product of the vectors u" = (i, 1+ i, 1) v* = (5 + i, –2 + 2i, –1+…

A: Dot product of complex numbers

Q: Let u and v be two vectors in R°. Determine the most general condition under which {u, v, u × v}…

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Q: Consider the points A (10, 9) and B (0, – 7). Find the vector AB. АВ

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

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Q: From the following list of vectors, choose all of the vector pairs that are orthogonal. v = 4i-j and…

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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: 3. Find the length of the following vector : ā = 4i +2j – 4k .

A: Given vector a = 4i + 2j - 4k We  have to find the length of the vector

Q: Q.5) Determine and what is the differences between the two results. Also prove that is orthogonal to…

A: We have to find the difference between the vectors A→=-i^+8j^+4k^ and B→=i^+18j^-6k^. Also, prove…