Adding Vectors on the Same Line When two vectors are in the same direction it is easy to add them. Place them head to tail and simply measure the total.

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Adding Vectors on the Same Line When two vectors are in the same direction it is easy to add them. Place them head to tail and simply measure the total length. Or add the two magnitudes together.

Does the order that the vectors are added matter? NO

What if the vectors are not on the same line? How do you add them? Place the vectors tip to tail again and measure the resultant.

The resultant vector can be measured or calculated algebraically. If the vectors are perpendicular, it may be done using the Pythagorean Theorem & basic trigonometry.

Practise. A man walks 3 km North, then 1.5 km East. What is his resultant displacement? Solve by scale drawing and by Pythagoras.

Adding Vectors by Scale – Any Angle Add the following vectors 10 km [N 30° E] + 8 km [W 15 ° N]