Let vectors A ? =(2,1,?4), B ? =(?3,0,1), and C ? =(?1,?1,2). P1. A ? ? B ? = P2
ID: 1273538 • Letter: L
Question
Let vectors A? =(2,1,?4), B? =(?3,0,1), and C? =(?1,?1,2).
P1. A? ?B? =
P2.
What is the angle ?AB between A? and B? ?
Express your answer using one significant figure.
?AB =
P3.
2B? ?3C? =
P4.
2(B? ?3C? ) =
P5.
Which of the following can be computed?
Which of the following can be computed?
3?A?
P6.
Express your answer in terms of V1
V? 1?V? 1 =
P7.
If V? 1 and V? 2 are perpendicular,
V? 1?V? 2 =
P8.
If V? 1 and V? 2 are parallel,
Express your answer in terms of V1 and V2.
V? 1?V? 2 =
A? ?B? ?C? A? ?(B? ?C? ) A? ?(B? +C? )3?A?
P6.
Express your answer in terms of V1
V? 1?V? 1 =
P7.
If V? 1 and V? 2 are perpendicular,
V? 1?V? 2 =
P8.
If V? 1 and V? 2 are parallel,
Express your answer in terms of V1 and V2.
V? 1?V? 2 =
Explanation / Answer
A? =(2,1,?4), B? =(?3,0,1), and C? =(?1,?1,2).
A= 2i + j -4k
B= -3i +0 + k
c=-i -j +2k
1) A.B = (2i + j -4k) .(-3i +0 + k) =-6 +0 -4 = -10
2) cos theta =( A.B )/ (Mod A.modB) = ?690.066
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