Asked by sophie
find the triple scalar product u . (v * w) for the vectors
u = 9i - 7j - 3k
v = -6i + j - 5k
w = 2i + 8j - 9k
u = 9i - 7j - 3k
v = -6i + j - 5k
w = 2i + 8j - 9k
Answers
Answered by
Damon
do you mean
u dot (v X w) ????
if so
vXw =
+i +j +k
-6 +1 -5
+2 +8 -9
= (-9 +40)i + (-10-54)j +(-48-2)k
-49i -64j -50 k now dot with
+ 9i - 7j - 3 k
---> -441 + 448 + 150
157
CHECK MY ARITHMETIC
u dot (v X w) ????
if so
vXw =
+i +j +k
-6 +1 -5
+2 +8 -9
= (-9 +40)i + (-10-54)j +(-48-2)k
-49i -64j -50 k now dot with
+ 9i - 7j - 3 k
---> -441 + 448 + 150
157
CHECK MY ARITHMETIC
Answered by
Steve
as long as we're using determinants,
u•v×w =
|9 -7 -3|
|-6 1 -5|
|2 8 -9|
u•v×w =
|9 -7 -3|
|-6 1 -5|
|2 8 -9|
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