Find the point A(x,y) when C divides AB in the ratio of 2:3.Points B and C are given as (-5,8) and (3,6)
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Find the point A(x,y) when C divides AB in the ratio of 2:3.Points B and C are given as (-5,8) and (3,6)
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- Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find u X (-9v)Two points in the xy plane have Cartesian coordinates (5.50, -7.00) m and (-6.50, 6.50) m. (a) Determine the distance between these points. m (b) Determine their polar coordinates. (5.50, -7.00) r= (5.50, -7.00) 0 = (-6.50, 6.50) r= (-6.50, 6.50) 0 = m counterclockwise from the +x-axis m counterclockwise from the +x-axisIf vectors A = (4.5, -2.5) and B = (3, 6), what is C = 2A – B?
- What is the angle between theses two vectors A = 14i – 5j +11k and B = 3i + 7j+ 10k ?The Cartesian coordinates of a point in the xy plane are (−3.3, −3.8). Find the polar coordinates of the point (the radius and theta in degrres counterclockwise from the x axis.)1. ANALYTICAL METHOD OF ADDING VECTORS Solve the same problem as PART 1 but this time analytically. START with the values below. DO NOT USE VALUES FROM PART 1. Suppose you first walk A = 12 m in a direction 20° west of north and then B= 20 m in a direction 40° south of west. Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. Note: In this problem, do not round values if you need to use them for calculations in subsequent parts. Rounding errors can propagate and can make your final answer lie outside the tolerance limit of 5% set for this problem. Keep all answers to 4 significant figures.
- Use the vectors m, n, p below to fid the following, Leave answers in exact form. m = (4, 5); n = |2i - 5j|; p = (-8, -2) find ||2p -n||Consider the vectors A=<1,2,3>, B=<-2,1,0>, and C=<0,3,1>. (a)Find the angle between A and B. (b)Find the component of A in the direction of C.Find a vector equation with parameter t for the line through the points (-1, –7, –4) and (-6, 8, 2). Answer: r(t) =