SOLUTION: Find the magnitude of the following vector: v = 2i - 4j

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Question 405261: Find the magnitude of the following vector: v = 2i - 4j
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The magnitude of a vector v is given by the following formula:
For v = (v1, v2)
||v|| = sqrt%28+%28v1%29%5E2+%2B+%28v2%29%5E2%29+%29

Therefore, since v = (2, -4),

||v|| = sqrt+%28+%282%29%5E2+%2B+%28-4%29%5E2+%29
= sqrt+%284+%2B+16%29
= sqrt%2820%29, which can be reduced to 2sqrt%285%29