[7] A =i+2j-k & B =i+j-2k Find Cross
product & dot product of vector A & vector B.
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Answer:
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Explanation:
Notice that the dot product of two vectors is a number and not a vector. For 3 dimensional vectors, we define the dot product similarly:
Dot Product in R3
If
v = ai + bj + ck and w = di + ej + fk
then
v . w = ad + be + cf
Examples:
If
v = 2i + 4j
and
w = i + 5j
then
v . w = (2)(1) + (4)(5) = 22
Exercise
Find the dot product of
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