Problem: Consider the three different triples of three-dimensional vectors x, y and z in the grids generated by the same three vectors u, v and w: y 1x 12 u T W a b and answer with, in that order. сс N y X 12 2 W N ax+by+cz = Z X Only one of the triples x, y, z above is linearly dependent. For that triple, find values of a, b and c such that they aren't all equal to 0 and (8) 0 Fu W N

Q: 1.2a-3b II. a.b Ill. ax b IV. proj, b (-5,2,-2), calculat

A:

Q: 44. V 3(-4V3. –2V3)

A: Given  Vector

Q: If possible, find a linear combination of the form w = a₁v₁ + a₂V₂ + a3V3 where v₁ = (2, -1, 4), V₂…

A:

Q: The vectors u = (-7, 1, -2) and v = (-28, x, - 8) are parallel if and only if x = - 212 %3D Select…

A:

Q: Given the vectors v = 4i + 2j – 3k and w = 3i – 4j + k. Find | 2v- w| А. V41 В. /126 С. V65 D. V138

A:

Q: The volume of the parallel pipe formed by three vectors A, B, and C is 50 cubic units. if A(-2,6,3),…

A:

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

A:

Q: Given the two vectors a = i-2j+3k and b = 3i-2j+3k, Find the area of the parallelogram whose…

A: The vector a is given as a = i-2j+3k. The vector b is given as b = 3i-2j+3k.

Q: Consider the vectors ā (2, 3, –1) and b = (4, –9, 6). Find the cross product of a and b

A:

Q: For the vectors a = <2, 8> and b = <4, 6>    find orthab.

A: The objective of the question is to find the orthogonal projection of vector a onto vector b. The…