Solve for v v=5i-12j

Problem

|v|=|5*i−12*j|

Solution

1. Identify the components of the vector v=5*i−12*j where the horizontal component is x=5 and the vertical component is y=−12

2. Apply the formula for the magnitude of a 2D vector, which is |v|=√(,x2+y2)

3. Substitute the values into the formula to get |v|=√(,5+(−12)2)

4. Square the components to get |v|=√(,25+144)

5. Add the values inside the square root to get |v|=√(,169)

6. Simplify the square root to find the final magnitude.

Final Answer

|5*i−12*j|=13

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