The following vectors are defined (e, ey, e,) are unit vectors of an orthogonal coordinate system): d = 2ể, + ểy – 3ể, b = ëx – 6ểy – ẻ, č = 2ex + 3e, + 4ẻ, Determine the following: (1) Scalar product of vectors à and b; (2) Scalar product of vectors b and b; (3) Magnitude of vector b ; (4) Cross product of ä and ä ; (5) Cross product of ä and b.

The following vectors are defined (e, ey, e,) are unit vectors of an orthogonal coordinate system): d = 2ể, + ểy – 3ể, b = ëx – 6ểy – ẻ, č = 2ex + 3e, + 4ẻ, Determine the following: (1) Scalar product of vectors à and b; (2) Scalar product of vectors b and b; (3) Magnitude of vector b ; (4) Cross product of ä and ä ; (5) Cross product of ä and b.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Vectors Cand D have magnitudes of 3 m and 4 m, respectively. What is the angle between the directions of C and D if the dot-multiplication of C and D equals (a) zero, (b) 12 m² , and (c) -12 m?
8) A vector ä of magnitude 10.0 units and another vector b of magnitude 6.00 units differ in directions by 60.0°. Find (a) the scalar product of the two vectors and (b) the magnitude of the vector product āxb.
Vector A has a magnitude of 4 m and lies in the xy plane directed at 45 degrees counterclockwise from the positive x axis, whereas the vector B has a magnitude of 3m and lies in the yz plane directed at 30 degrees from the positive z axic. Find the cross product A x B and the angle between the vectors.
What angles does the I vector make with the z axis when 1 = 2?
Find the vector product C of coplanar of these vectors. (5i+4j)x(2i+5j-3k)
What is the angle between theses two vectors A = 14i – 5j +11k and B = 3i + 7j+ 10k ?
The vector product of vectors A = 4i + 6j + 8k and B = 6i + 8j – 10k where i, j and k are unit vector
Calculate the angle between the vectors A=(5;4) and B=(2;8)
Given M = 6 î + 5 j – 6 k and N = 3 î - 3 j - 3 k, calculate the vector product M x N. j +
Determine the value of the scalar a if the following three vectors are to liein the same plane: A = 2i−j+2k m, B = 6i+3j+ak m, and C = 16i+46j+7k m.
A vector a of magnitude 17 units and another vector b of magnitude 8.5 units differ in directions by 72°. Find (a) the scalar product of the two vectors and (b) the magnitude of the vector product a×b.
Given the pair of vectors, A = (9.00î − 5.00ĵ ) and B =(−3.00î + 9.00ĵ ),use the definition of a scalar product to determine the following. (a) the scalar product (b) the angle between the vectors (Enter an answer between 0 and 180 degrees.) ° (c) the angle ? between the vector A and the +x axis (Enter an answer between 0 and 180 degrees.) ° (d) the angle ? between the vector B and the +y axis (Enter an answer between 0 and 180 degrees.) °