two bees leaving an area in a straight path. Bee's 1 path: r1(t) = < -7,6,-18> + t < 2,-1,5> and Bee's 2 path: r2(s) = <-12,-14,12> + s<3,3,-4> a) will their path's cross? b) will the bees collide? c)which bee is going faster?

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: Find the slope-intercept form for each linear equation. a) Slope & intercept: m = 4 and (0 , 5) b)…

A:

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: If A = {1, 2, 3, 7} and B = {2, 4, 5, 7}, then the intersection of A and B is?

A: Given that if          A=1, 2, 3, 7and B=2, 4, 5, 7. then to find the intersection of A and B i.e.…

Q: Q1/ Are the following points collinear? 1- A(-3,-7), B(0,-2), C(6, 8) 2- A (9,2), B(3,8), C(-5,-4)

A:

Q: Q1/ Are the following points collinear? 1- A(-3,-7), B(0,-2), C(6, 8) 2- A (9,2), B(3,8), C(-5,-4)

A: Here we need to find whether these points are collinear or not the points are , then

Q: The vertices of a triangle are A(-2, 0), B(0, 3), C(2, 2). Translate the triangle 4 units down. What…

A: Given, The vertices of a triangle are A(-2, 0), B(0, 3), C(2, 2) If  the triangle is taken 4 units…

Q: A water trough has an isosceles triangular cross section that is 55 m across the top and 12 m deep.…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: c =

A:

Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…