Show that dot product of two vector A and B is AB = Ax Bx Ay By A1 B2
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A·B = A_x ·B_x + A_y B_y = A_1 B_2, it is proved.
Step-by-step explanation:
Let vector A = A_1xi + B_1xi
and A = A_2xi + B_2xi
∴ A·B = (A_1xi + B_1xi)·(A_2xi + B_2xi)
= A_1·B_1 +A_2·B_2
Hence, A·B = A_x ·B_x + A_y B_y = A_1 B_2.
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