Let x,y,z be (non-zero) vectors and suppose w=−z. If z=−3x−y, then w=3x+y. Using the calculation above, mark the statements below that must be true. A. Span(y, z) = Span(w, y, z) B. Span(x, y) = Span(w, z) C. Span(w, z) = Span(w, x) D. Span(x, z) = Span(w, x, y) E. Span(w, x, z) = Span(x, y, z)

Q: Compute (u v Ղա • Ա. . — u = (i, 7,6), v = (2, -7i, 1+i), w = (7-i, 7i, 3 + 6i) u · v) ա • Ա —

A:

Q: Calculate v x w: v = (5,6,2), V X W W = (5, 4, 7)

A: Step 1: Step 2: Step 3: Step 4:

Q: Let vector v = 3i – 2j+ 4k and point P = (0,0, -3). For what point Q is it true that v = PQ?

A:

Q: please answer all i really need it and make sure it’s correct

A: Step 1: Step 2: Step 3: Step 4:

Q: For the vectors u=−1,4 and v=−4,2​, calculate projvu and scalvu.

A:

Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

A:

Q: 2. For v = (5,-2) and w = (3, 4), find v+w, v - w, v/2, -w and make one sketch labeling all 6 of…

A: Given,           v=<5,-2> and w=<3,4>

Q: For the given vectors u and v, find the proj,u and proj,v. 1. u = (10, 5) and v (2, 6). V =

A: Question- For the given vectors u and v, calculate projvu and scalvu. u = ⟨10, 5⟩ and v = ⟨2, 6⟩

Q: For what values of c are the vectors and perpendicular?

A: we will use dot product of two vector.

Q: Find u · v. (7, 9) v = (-2, 4) V u.v u:v =

A:

Q: 6. Let A= (1, 2, 0), B = (3, 4, -1), and C= (4, 5, 2). Find the exact value of the distance between…

A: Given- A=(1,2,0) , B=(3,4,-1), C=(4,5,2) To find the exact value of distance between point C and the…

Q: please answer all i really need it and make sure it’s correct

A: (10).       (11). Step 1:--    Step 2:--Step3:--(12).

Q: Find the vector expression for the line that is the intersection of the planes 3x−3y−2z=−2 and…

A:

Q: Q4. Determine whether the vectors are linearly dependent or independent. v1=(4,-2, 2), v2 = (5, 4,…

A: v1=4-22, v2=54-3, v3=-793 We have to check whether the given vectors are linearly dependent or…