(4 points) if B and C are 2 x 2,2 × 3, and 3 8 mat ces respectively determine which or the following products are de ned For those defined, enter the size of the resulting matrix (e g. "3 x4", with spaces between numbers and "*"), For those undetined, enter "undetinea BA AB AC BC
A = (62) B=(6 3) Find all matrices such that both AC = CA, BC = CB, hold. (b) Can the vector z = (2,3, 2) be written as z = ax + By where x = (2,3,0) and y = (1, -1,1)?
do the problem no 1 Let r, r2 Tm be a given set of positive rational numbers whose sum is 1. Define the function f by f(n) = n - nfor each positive integer n. Determine the minimum and maximum values of f(n) k=1 An acute angle XCY and points A and B on the rays CX and CY, respectively, are given such that |CX| < \CA = |CB| < \CY]. Show how to construct a line meeting the ray...
2. Consider the points A(2, -3,1), B(3,0,-1), and C(-1,-2,-4). a. Find (AB. AC)(ABXAC) b. Find a real number k such that (4,k,1) is orthogonal to BC.
Let traingle ABC have midpoint B' on AC, C' midpoint of AB and G be centroid. If AC=5, AB=5, and CC'=6 find BC.
Q1. Given the points A: (0,0,2), B: (3,0,2), C: (1,2,1), and D: (2, 1,4 a) Find the cross product v - AB x AC. b) Find the equation of the plane P containing the triangle with vertices A, B, and C c) Find u the unit normal vector to P with direction v d) Find the component of AD over u and the angle between AD and u, then calculate the volume of the parallelepiped with edges AB, AC, AD...
complete spaces 2,3,4 by following the given instructions on each space. Drow top view tine 5,2 is horlzontal; then draw frent and side vlaws. Line 5,2 will then oppear as a point in the right side viow. sunocss A and B will appear as tines and the frue angle betwean them wilt ba shown. Dimension thls anglo in degreas FOR FIXTURE Omit holes in revoived niews. Show all hiddan lines Number all points in spoces 2, 3, and 4. Remember:...
520. Given triangle ABC, let F be the point where segment BC meets the bisector of angle BAC, Draw the line through B that is parallel to segment AF, and let E be the point where this parallel meets the extension of segment CA. (a) Find the four congruent angles in your diagram. (b) How are the lengths EA, AC, BF, and FC related? (c) The Angle-Bisector Theorem: How are the lengths AB, AC, BF, and FC related? 520. Given...
1. Consider the isosceles triangle ABC, with AB = AC, and BAC = 20. Choose points E, D on the sides AB, AC, respectively, so that ZCBD = 60', and BCE = 50'. We will find LEDB. (i) Bring the parallel DF to BC, with F on AB. Connect points and F. and let K be the intersection of BD and CF. Show that DFBC is an isosceles trapezium. Mark all its angles. (ii) What type of triangles are BKC...
Let A = (-1, -2,0), B = (1,0,1), and C = (-1,2,3) be points in space. (a) Find the vector projection of BA onto the vector BC. (b) Let @ be the angle between BÀ and BC. Compute cos(20).