Note: i need help with parts b,c,d Q1. a. Calculate the length and direction of v = (2,3,1) and show that v= |v| u, where u is the direction of v. b. Find all unit vectors whose angle with positive part of x-axis is pi/3. c. Find all unit vectors whose angle with positive part of x-axis is pi/3 and with positive part of y-axis is pi/4. d. Find all unit vectors whose angle with positive part of x-axis is pi/3 with positive part of y-axis is pi/3, and with positive part of z-axis is pi/4.
Note: i need help with parts b,c,d Q1. a. Calculate the length and direction of v = (2,3,1) and show that v= |v| u, where u is the direction of v. b. Find all unit vectors whose angle with positive part of x-axis is pi/3. c. Find all unit vectors whose angle with positive part of x-axis is pi/3 and with positive part of y-axis is pi/4. d. Find all unit vectors whose angle with positive part of x-axis is pi/3 with positive part of y-axis is pi/3, and with positive part of z-axis is pi/4.
Note: i need help with parts b,c,d Q1. a. Calculate the length and direction of v = (2,3,1) and show that v= |v| u, where u is the direction of v. b. Find all unit vectors whose angle with positive part of x-axis is pi/3. c. Find all unit vectors whose angle with positive part of x-axis is pi/3 and with positive part of y-axis is pi/4. d. Find all unit vectors whose angle with positive part of x-axis is pi/3 with positive part of y-axis is pi/3, and with positive part of z-axis is pi/4.
Note: i need help with parts b,c,d
Q1.
a. Calculate the length and direction of v = (2,3,1) and show that v= |v| u, where u is the direction of v.
b. Find all unit vectors whose angle with positive part of x-axis is pi/3.
c. Find all unit vectors whose angle with positive part of x-axis is pi/3 and with positive part of y-axis is pi/4.
d. Find all unit vectors whose angle with positive part of x-axis is pi/3
with positive part of y-axis is pi/3, and with positive part of z-axis is pi/4.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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