If the angle between two vectors A and B is 60 degrees and |A| = 5, |B| = 10, wh

If the angle between two vectors A and B is 60 degrees and |A| = 5, |B| = 10, what is A · B?

If the angle between two vectors A and B is 60 degrees and |A| = 5, |B| = 10, what is A · B?

Step 1: Identify the magnitudes of the vectors A and B. Here, |A| = 5 and |B| = 10.
Step 2: Identify the angle between the vectors A and B. The angle is given as 60 degrees.
Step 3: Recall the formula for the dot product of two vectors: A · B = |A| * |B| * cos(angle).
Step 4: Calculate cos(60°). The cosine of 60 degrees is 0.5.
Step 5: Substitute the values into the formula: A · B = 5 * 10 * 0.5.
Step 6: Perform the multiplication: 5 * 10 = 50, then 50 * 0.5 = 25.
Step 7: Conclude that A · B = 25.

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