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1) The vectors A~and B~ are given by A~ = 6.65ˆi+6.22 ˆ? and B~ = -4.94ˆi+5.66 F

ID: 1957633 • Letter: 1

Question

1) The vectors A~and B~
are given by A~ = 6.65ˆi+6.22 ˆ? and B~ = -4.94ˆi+5.66
Find the scalar product A~· B~
Find the angle between A~and B~. answer in degrees

2) Vector A~ has components
Ax = -7.5, Ay = 4.5, Az = 2.9,
while vector B~ has components
Bx = 5.6, By = -3.5, Bz = 3
What is the angle ?AB between these vectors? (Answer between 0?and 180?.)
Answer in units of?

(part 1 of 2)
Vector B~ has x, y, and z components of 7, 2.8,
and 8.5 units, respectively.
Calculate the magnitude of B
What is the angle between B~
and the x-axis?
Answer in units of?

Explanation / Answer

Scalar product = 6.65 x -4.94 + 6.22 x 5.66 = -32.851 + 35.2052 = 2.3542