Q Three vectors (u) (v). (w) have been written in matrix form as shown below: 3 -4 1.5 - Show that: Vector (u) is Perpendicular to the vectors (v) & (w) b Vector (v) Parallel to the vector (w) Ans a) M.v= 0, u.w = 0 b) v xw = 0

Q: 7. Vectors vị, V2, and u are shown below: V2 Let B = {v1, v2}. Find the coordinates of [u]g. (w» [)…

A: From the given graph we can infer that v1=(2,1) and v2=(-1,3) and u=(4,5)B={v1,v2}AX¯=bHere…

Q: 1 2 Consider the column vectors vị = V2 = -1 and v3 = -1 1 (a) Use row operations on an appropriate…

A: The column vectors are v1=101, v2=2-10 and v3=0-1-2

Q: AB, BC, AC.

A:

Q: 15m Please explain how to get the i, j, k, vectors of A, B, and C.

A: To find the vectors A, B and C.

Q: Determine a so that the vector u= "- [3] is a linear combination u = av+bw of vectors *-[2]· *-6). =…

A:

Q: 6. Consider the vectors u = (1,–2), v = (4,3), and w = (9,4). Find scalars k and k2 such that w =…

A:

Q: 8. Write the vector (5,6,0) as a linear combination of the vectors (-1,2,0), (3,1,2), (4,–1,0) and…

A: We have to write the vector (5, 6, 0) as a linear combination of the vectors (-1, 2, 0) , (3, 1, 2),…

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

A:

Q: 2. Let A (1,-1,0) and B = (2,1,-2). (a) Solve for projgA. (b) Find the angle between projgA and A.

A:

Q: EXAΜPLE2 Determine whether the vectors vi-(1,-2,3),v2=(5,6,-1),v3-(3,2,1) are linearly independent…

A: Given vectors are v1 = (1, -2, 3), v2 = (5, 6, -1), v3 = (3, 2, 1)

Q: Find the coordinate vector of P relative to the basis S = {P1P2.P3} P1 = 1 +x+x*,P2 = x + x, p3 =…

A:

Q: 3 Determine whether the vector w = | 10 is a linear combination of the vectors v1 = 0 , v2 = -2 -3…

A: Our Aim is to determine whether the vector w=310-1 is a linear combinationof the vectors v1=101,…

Q: Consider the following points. A(3, 1, 1), B(4, -4, 6), C(7, -2, 0), D(6, 3, −5) Let u = AB, VAC,…

A: Consider the following points.Let , , and . Find each of these vectors.Find the scalar triple…

Q: he vector component of A = 4 + 3ŷ + 62 along B=-2â+ 6ŷ + 42 is: O a. -1.21âx+1.82ây+-4.14âz O b.…

A:

Q: Help!! Please answer correctly

A: a)Let v=⎣⎢⎡​xyz​⎦⎥⎤​∈R3Let cB​=⎣⎢⎡​cB1​cB2​cB3​​⎦⎥⎤​ be the cordinate vector of v with respect to…

Q: 1 Let a =-2 and b = -2 | be two vectors. 1 What is |a2|b|2+ |a · b? ?

A: Given that:a=2-21 and b=1-22

Q: 3.2.1 Vector Cross Product Let vectors: A = (1, 0, −3), B = (–2, 5, 1), and C = (3, 1, 1). Part…

A: Since, you have posted a question with sub-parts greater than three. We will provide the solution…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A:

Q: Find a vector orthogonal to both v and W. v = 3i + 2j + k, w = -5i - 5j - k 3i - 2j - 5k -3i + 2j -…

A:

Q: Which of the following statements is not true for vectors a, b and c and scalars a and B (A) a.b+a.c…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Determine the scalars K and S that make the vector u a linear combination of the vectors v and w.…

A:

Q: 1 (a) Write the following vectors as column vectors. i. 4e₁-3e3 +22₂ - 2e₁ € R³. ii. e₂ + ₁ - 52₂ €…

A:

Q: Use vectors u= (-3, 1), v= (3, -3), and w= (0, 8) to find v (w+u), and determine whether the result…

A: Answer is given below