Cho hệ các vector U=({(1,2,;4);(0,-1,-3);(2,3,5);(1,0 ,-2)}. a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U. b. Tim tham số k để ý = (2, 3, k ^ 2 + 1) là một tổ hợp tuyến tính của W, và suy ra []u w.

Asilkworm winds its cocoon out of one long silk fiber. to make silk thread, 3 to 10 of these silk fibers are unwound from their cocoons and combined into aa single thread with a typical length of 300 yards. choose a reasonable number of silk fibers in a thread write an equation to find the total length of the silk fibersused in 300 yards of the thread

What is the slope of a line that is perpendicular to y = 3x + 1

Answer asap ! the shortest path from point a to point b goes through a pond. to avoid the pond, you must walk straight 34 meters along one edge of the pond, then take a 90 degree turn, and again walk straight 41 meters along another edge of the pond to reach point b. about how many meters would be saved if it were possible to walk through the pond? a. 11 m b. 20 m c. 30.45 m d. 21.73 m