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A=10i+12j-8k B=8i-10j-12k
Find A*B

User Marconline
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1 Answer

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Answer: 56

Step-by-step explanation:

To find the dot product of two vectors A and B (written as A · B), we multiply the corresponding components of each vector and then sum up the results. Given the vectors A and B:

A = 10i + 12j - 8k
B = 8i - 10j - 12k

To calculate the dot product A · B, we follow the formula:

A · B = (A_x * B_x) + (A_y * B_y) + (A_z * B_z)

Where A_x, A_y, and A_z are the components of vector A, and B_x, B_y, and B_z are the components of vector B.

Now, we can plug in the values of A and B:

A · B = (10 * 8) + (12 * (-10)) + (-8 * (-12))
A · B = 80 - 120 + 96
A · B = 56

The dot product of the vectors A and B is 56.
User Damoiskii
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