Let A = (-5, 2), B = (1, 0), and C = (4, 9). Prove that AABC is a right-angled triangle. Let u = AB, v = BC, and w = AC. We must show that u · v, uw, or v w is zero in order to show that one of these pairs is orthogonal. U. V = U. W = V.W = Based on your previous answers, it can be concluded that AABC is a right-angled triangle because of which of the following? O AB L BC OBCI AC O AB AB L AC

Q: . Determine the corresponding Cartesian equation. [ L1: = [4,-3, 5] + t[2, 0,3], t € R and L2: 7 =…

A:

Q: Given vectors a=-37-9)andy=-12t-13, find vector x

A: We need to obtain the difference of the two vectors.

Q: Given the points P(-2, 6, -2), Q(5, 7, 2) and R(3, 4, −1). Find the angle, 0, in degrees, that is…

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: Let v = (– 1, 19, 19) and w = (– 27, – 7, – 47) be ordered triples in R'. Find two scalars ci and C2…

A:

Q: AABC has vertices at A (-3,-2), B (5,3) and C (5,-2). a. Sketch and label each of the points on a…

A: Given: ABC has vertices at  and Aim: To sketch the points on a graph.To calculate each of the…

Q: 1. (a) Find uxv and show that it is orthogonal to both u and v u = v = (b)The vertices of a…

A:

Q: Exercise 1.12. Determine the cosine of the angles of the triangle whose vertices are A = (2,-1, 1),…

A: We can find the length of all the three sides then with the help of cosine rule of triangle we will…

Q: Find the length and direction of (1, –4, –5). Length is Direction is

A: See attached file for a step by step explanation to find the length and the direction of vector.