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Vector c is 6.28m long in a 105° direction. Vector d is 3.09 m long in a 233° direction. Find the direction of their vector sum.

User BryanD
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Final answer:

To find the direction of the vector sum, use the graphical method of vector addition and measure the angle between the positive x-axis and the line connecting the tail of vector c to its head.

Step-by-step explanation:

To find the direction of the vector sum of vector c and vector d, we can use the graphical method of vector addition. First, we draw vector c and vector d tail-to-head. Then, we draw the resultant vector from the tail of vector c to the head of vector d. The direction of the resultant vector is the direction from the tail of vector c to its head. We can measure this angle using a protractor.

For vector c, we have a length of 6.28m and a direction of 105°. For vector d, we have a length of 3.09m and a direction of 233°. The resultant vector is drawn from the tail of vector c to the head of vector d, and its direction can be measured as the angle between the positive x-axis and the line connecting the tail of vector c to its head.

Using a protractor, we can measure this angle to find the direction of the vector sum of vector c and vector d.

User Hugtech
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