Question
what is the value of vector A and vector B if A cross B is 8i+14j+k and A+B=5i+3j+2k
Answers
oobleck
Let
A = ai+bj+ck
B = xi+yj+zk
Then you have from A+B
a+x = 5
b+y = 3
c+z = 2
and you have from A×B
bz-cy = 8
cx-az = 14
ay-bx = 1
So solve for the values.
A = ai+bj+ck
B = xi+yj+zk
Then you have from A+B
a+x = 5
b+y = 3
c+z = 2
and you have from A×B
bz-cy = 8
cx-az = 14
ay-bx = 1
So solve for the values.
Amir
A=5i
Bruk
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