Let A = 2î + 6j - 3k and B = 4î + 2j + k. Then A . B equalsGroup of answer choices8î + 12j - 3k12î - 14j - 20k202317Next
Question
Solution
The dot product of two vectors A and B is calculated as follows:
A . B = (A_x * B_x) + (A_y * B_y) + (A_z * B_z)
where A_x, A_y, A_z are the i, j, k components of vector A and B_x, B_y, B_z are the i, j, k components of vector B.
Given A = 2î + 6j - 3k and B = 4î + 2j + k, we can calculate the dot product as follows:
A . B = (2 * 4) + (6 * 2) + (-3 * 1) = 8 + 12 - 3 = 17
So, A . B equals 17.
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