1. (15pts) (i) Let A = (1, 2, 3), B = (4, 1, 4) and C = (2, 4, 6). Find
the angle between AB and AC.
(ii) Let P = (0, 1, 1), Q = (2, 1, 0) and R = (1, 3, 2). Find the cross
product of P Q and P R.
(iii) Find the equation of the plane containing P , Q and
1. (15pts) A rectangular box lies in the corner of the first octant,
with one vertex at the origin and the diagonally opposite vertex D
at (2, 3, 1). Three other vertices are A = (2, 0, 1), B = (0, 3, 1) and
P = (2, 3, 0).
(i) Express the vectors P A and
18.02 HOMEWORK #4, DUE THURSDAY OCTOBER 6
The homework exercises are divided into two groups:
practice exercises that you should do but are not to be handed in.
graded exercises that you turn in and will be graded.
Numbers like 12.1 refer to Edwards & P
18.02 HOMEWORK #2, DUE THURSDAY SEPTEMBER 22
The homework exercises are divided into two groups:
practice exercises that you should do but are not to be handed in.
graded exercises that you turn in and will be graded.
Numbers like 12.1 refer to Edwards
18.02 HOMEWORK #3, DUE THURSDAY SEPTEMBER 29TH
The homework exercises are divided into two groups:
practice exercises that you should do but are not to be handed in.
graded exercises that you turn in and will be graded.
Numbers like 12.1 refer to Edward
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