trig/math

3. Draw vectors u and v tail-to-tail so that they make a è-degree angle. Draw the vector u − v, the third side of the triangle, and check to see that it points in the right direction.
(a) Solve for cos è using the SSS version of the Law of Cosines, expressing all lengths in terms of u, v, and u − v.
(b) If you use vector algebra to simplify the numerator as much as possible, you will
discover an interesting new result connecting u•v to cos è.

asked by sarah

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    1. A vector has (at minimum) how many parts associated with it? 2. When adding three vectors graphically one needs to: 1. Spin each one like a spinner on a board game. 2. Do nothing because more than two vectors cannot be added
  2. phys

    1. A vector has (at minimum) how many parts associated with it? 2. When adding three vectors graphically one needs to: a. Spin each one like a spinner on a board game. b. Do nothing because more than two vectors cannot be added
  3. Calculus and vectors

    Please help/verify the answer. 1. When you add vectors geometrically: a) vectors are aligned tail to tail b) vectors are aligned head to head c) vectors are aligned head to tail d) vectors are put side by side Is the answer D?
  4. Math

    Can I get some help? 1. If v = (-5, -3), -5 ||v||^2 2. For the following vector v, find ||u||, the unit vector with the same direction angle as v. V = -25j Does u = -j? 3. True or False: To graphically add two vectors, V+w, using
  5. Discrete Math - Vectors

    Can you please help me correct my answers for the following two questions? 1) A tour boat travels 25 km due east and then 15 km S50°E. Represent these displacements in a vector diagram, then calculate the resultant displacement.
  6. physics

    A football player runs the pattern given in the drawing by the three displacement vectors A, B, and C . The magnitudes of these vectors are A = 5 m, B = 16.0 m, and C = 16.0 m. Using the component method, find the magnitude and
  7. math

    Let u = [2,−3, 1] and v = [0, 1, 4]. Calculate the vector u − v. Place u and v tail-to-tail to form two sides of a triangle. With regard to this triangle, what does u−v represent? Calculate the number u•u and
  8. precalc

    If is vector a ia 7 units long, the magnitude of vector b is 10 units and the cosine of the angle between the two vectors is -0.3 when they are placed tail-to-tail, what does the inner product of vector a and vector b equal?
  9. Physics

    Given Vector A with magintude 9.17 feet and Vector B with magnitude of 10.58 feet, what is the resultant of the two vectors added together? Answer: I know it would depend on the direction of the vector. If in the same line we
  10. geometry

    Let u = [2,−3, 1] and v = [0, 1, 4]. Calculate the vector u − v. Place u and v tail-to-tail to form two sides of a triangle. With regard to this triangle, what does u−v represent? Calculate the number u•u and

More Similar Questions