The line of action of the 4800-lb force F runs throu the points A and B as shown in the figure. Determi the x and y scalar components of F.

Q: ne forces F1, F2 and F3 in a system obey the equations 5F, - 2F, + F, = 2 F + 4F, – F, = 8.2 - 2F, +…

A:

Q: Find u · (v x w). This quantity is called the triple scalar product of u, v, and w. u = (4, 4, 4), v…

A: = i(5·0 - 0·(-1)) - j (1·0 - 0·0) + k (1·(-1) - 5·0) = i (0 - 0) - j (0 - 0) + k (-1…

Q: The vector equations of the two lines are r1={5-6}+t{3 1) and r2={4 1}+p{-2 3}. Determin the points…

A: To find the intersection point of vector equations: r1 =(5, -6)+t(3, 1) and r2=(4, 1)+p(-2, 3).

Q: Let u = 2i - j, v = 4i + j, and w = i + 5j. Find specified scalar u . v + u . w.

A: We will apply dot product of vectors.

Q: Use vector method. Find the interior angles and the area of triangle ABC

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.