Consider the vectors u= (3,1,4) and v = = (-4,3,-1) aj Let Ly be the line through the point 0:(0,0,0) with direction vector u and let L₂ be the line through the point P: (2,5,7) with direction vector V. Determine the intersection of the lines. by Determine all vectors of length 1 that are orthogonal to both u and V. c Split u into two perpendicular components, One of which is parallel to vector v.

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

A:

Q: don't understand how the equation turned into 5x+x+6/x(x+6), could you go through the equation again…

A:

Q: find the components of the vector PQ. P = (-}, 3, 1), Q = (4, 6, 0)

A: P=-12, 92, 1,  Q=4, 6, 0

Q: Find the cross products of vectors: u=(0,-4,2) and v=(-3,2,6). Find the area of the parallelogram…

A:

Q: Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in…

A: Given the three basic vectors:                           (2,1,0,-1),(-1,1,1,1),and (2,7,4,1) We have…

Q: Determine the shortest distance from the point (3, 4, 5) to the line through the origin parallel to…

A:

Q: Which of the following vectors is/not perpendicular to the line whose direction vector is (2,-3,5)?…

A:

Q: Please help

A: Step 1: Concepts and formulas. Step 2: Solution of first question. Step 3: Solution of second…

Q: Let / be the line through the point with coordinates (-2,1,0) in the direction of the vector…

A:

Q: Line E goes through the points (1, 5, 2) and has the direction vector ⟨2, 2, 3⟩. Line F goes through…

A:

Q: Let Lz be the line passing through the points Q1=(1, 3, 1) and Q2=(7, 12, 4). Find a value of k so…

A: We will solve the problem

Q: Express i = (3,7,-4) as a linear combination of i = (1,2,3), ỷ = (2,3,7), z = (3,5,6), also check…

A: see below the answers

Q: Find symmetric equations of a line that contains the point (13,3,7) and the origin. Demonstrate how…

A:

Q: the transfer of the coordinate system by the vector v = 21 +3j is carried out. The original…

A: v     =Transfer vectorv     =2i+3jorvxvy=23 ---------------------------------------------- Points to…

Q: Find the unit vectors u and uz in the directions of v = (1,3) and w = Find unit vectors U, and U2…

A:

Q: Find the equation of the line that passes through the point (3,4,5) and is parallel to the vector…

A: The equation of a line that passes through the point: x0, y0, z0 is L=x0, y0, z0+ta, b, c, where a,…

Q: P(2,5, 4) and Q(8,3,3) Let be the line through P in vector direction (1,2,3) and let II be the plane…

A: