[20] A particle moves from a point in the xy plane having Cartesian coordinates (-3.00, -5.00) m to a point with coordinates (-1.00, 8.00) m. (a) Write vector expressions for the position vectors in unit-vector form for these two points. (b) What is the displacement vector?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
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[20] A particle moves from a point in the xy plane having Cartesian coordinates (-3.00, -5.00)
m to a point with coordinates (-1.00, 8.00) m. (a) Write vector expressions for the position
vectors in unit-vector form for these two points. (b) What is the displacement vector?
[21] Two vectors are given by i= 4i+3j and = -i+3j. Find (a) i.5 and (b) the angle
between i and 5.
[22] A vector is given by i -2i+3j. Find (a) the magnitude of åÀ and (b) the angle that i
makes with the positive y axis.
[23] Vector i has a magnitude of 5 units, and i has a magnitude of 9 units. The two vectors
make an angle of 50° with each other. Find i.B.
[24] For the three vectors i=3itj-k, 8=-i+2j+Sk, and c= 2j-3k, find c(i-B)
[25] The scalar product of vectors À and is 6 units. The magnitude of each vector is 4
units. Find the angle between the vectors.
Transcribed Image Text:[20] A particle moves from a point in the xy plane having Cartesian coordinates (-3.00, -5.00) m to a point with coordinates (-1.00, 8.00) m. (a) Write vector expressions for the position vectors in unit-vector form for these two points. (b) What is the displacement vector? [21] Two vectors are given by i= 4i+3j and = -i+3j. Find (a) i.5 and (b) the angle between i and 5. [22] A vector is given by i -2i+3j. Find (a) the magnitude of åÀ and (b) the angle that i makes with the positive y axis. [23] Vector i has a magnitude of 5 units, and i has a magnitude of 9 units. The two vectors make an angle of 50° with each other. Find i.B. [24] For the three vectors i=3itj-k, 8=-i+2j+Sk, and c= 2j-3k, find c(i-B) [25] The scalar product of vectors À and is 6 units. The magnitude of each vector is 4 units. Find the angle between the vectors.
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