Find a vector-valued function whose graph is the plane x+y+z== a. r(u,v)=ui-vj-(3-u-v)k b. r(u,v)= ui+vj+(3-u-v)k c. r(u,v) = ui+vj+(3+u+v)k C. d. r(u,v)= ui+vj-(3+u+v)k e. r(u,v)=-ui-vj+(3-u-v)k

Q: be the line through the point with coordinates (0,1,0) in the direction of the vector h of the…

A:

Q: Let L₁ be the line passing through the points Q₁-(-1.-3, 1) and Q₂-(-4,-6, 2). Find a value of k so…

A:

Q: Express vector t = (3, 6, -6, 9) as a linear combination of vectors u = (-1, 3, 0, 7) and v = (-5,…

A: The given vectors are: t=3, 6, -6, 9u=-1, 3, 0, 7v=-5,0, 6, 5 We have to express the vector t as a…

Q: The coordinates of the terminal point of the vector with its initia point at (-3, 2) is (a, b).…

A: The coordinates of a vector with its initial point, <x1, y1> and the terminal point, <x2,…

Q: Which vector equation below represents the line in R³ that passes through the point (-4, 5, 7) and…

A:

Q: Find a vector orthogonal to the line x+y=1

A:

Q: f possible express the vector v as a linear combination of 1, V2, and V3. b) v = (0, 0, -1), V₁ =…

A:

Q: Find the B-coordinate vector for p(t) = -6+10t-7t² B={1-2t+t², 4-7t +5t², 5-8t+8t²} Enter your…

A:

Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

A:

Q: Find the vector equation for the line of intersection of the planes 4x - y + 3z = 1 and 4x + 2z = −1…

A: Given:equation of two planes To find:vector equation of line that intersects these planes

Q: Find the vector equation for the line of intersection of the planes 5x + 3y2z = -1 and 5x + 5z = -4…

A:

Q: Write down the vector equation of the line that passes through the points (x,y,z) = (2,3,7) and…

A: The given problem is to find the vector equation of line that passes through the given two points.

Q: What helps to set of vectors linearly independent?

A: