3. Vectors

Adding Vectors by Components

Physics Vector Addition (Algebraic)

Adding Vector Components Example | Physics with Professor Matt Anderson | M3-11

Vector Addition By Components

Vectors - Finding the components of a vector

 Let <math display="inline"><mrow><mover accent='true'><mi>A</mi><mo>&#x21C0;</mo></mover><mo>=</mo><mover accent='true'><mi>i</mi><mo>&#x005E;</mo></mover><mo>+</mo><mn>2.0</mn><mover accent='true'><mi>j</mi><mo>&#x005E;</mo></mover></mrow></math>, <math display="inline"><mrow><mover accent='true'><mi>B</mi><mo>&#x21C0;</mo></mover><mo>=</mo><mo>&#x2212;</mo><mn>7.0</mn><mover accent='true'><mi>i</mi><mo>&#x005E;</mo></mover></mrow></math>, and <math display="inline"><mrow><mover accent='true'><mi>C</mi><mo>&#x21C0;</mo></mover><mo>=</mo><mn>3.0</mn><mover accent='true'><mi>i</mi><mo>&#x005E;</mo></mover><mo>+</mo><mover accent='true'><mi>j</mi><mo>&#x005E;</mo></mover></mrow></math>. What is the direction of <math display="inline"><mrow><mover accent='true'><mi>A</mi><mo>&#x21C0;</mo></mover><mo>+</mo><mover accent='true'><mi>B</mi><mo>&#x21C0;</mo></mover><mo>+</mo><mover accent='true'><mi>C</mi><mo>&#x21C0;</mo></mover></mrow></math>? Express your answer in degrees counter clockwise from the positive x axis. 

 Let <math display="inline"><mrow><mover accent='true'><mi>A</mi><mo>&#x21C0;</mo></mover><mo>=</mo><mover accent='true'><mi>i</mi><mo>&#x005E;</mo></mover><mo>+</mo><mn>2.0</mn><mover accent='true'><mi>j</mi><mo>&#x005E;</mo></mover></mrow></math>, <math display="inline"><mrow><mover accent='true'><mi>B</mi><mo>&#x21C0;</mo></mover><mo>=</mo><mo>&#x2212;</mo><mn>7.0</mn><mover accent='true'><mi>i</mi><mo>&#x005E;</mo></mover></mrow></math>, and <math display="inline"><mrow><mover accent='true'><mi>C</mi><mo>&#x21C0;</mo></mover><mo>=</mo><mn>3.0</mn><mover accent='true'><mi>i</mi><mo>&#x005E;</mo></mover><mo>+</mo><mover accent='true'><mi>j</mi><mo>&#x005E;</mo></mover></mrow></math>. What is the magnitude of <math display="inline"><mrow><mover accent='true'><mi>A</mi><mo>&#x21C0;</mo></mover><mo>+</mo><mover accent='true'><mi>B</mi><mo>&#x21C0;</mo></mover><mo>+</mo><mover accent='true'><mi>C</mi><mo>&#x21C0;</mo></mover></mrow></math>? 

Adding Vectors: How to Find the Resultant of Three or More Vectors

Anderson Video - Adding Vector Components Example

Adding Vectors

A postal employee drives a delivery truck over the route shown in Fig. E1.25. Use the method of components to determine the magnitude and direction of her resultant displacement. In a vector-addition diagram (roughly to scale), show that the resultant displacement found from your diagram is in qualitative agreement with the result you obtained by using the method of components.

For the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of (d) the vector difference B - A

Anderson Video - Adding Vector Components

Anderson Video - Adding Vectors Example

Vector Component Addition and Subtraction

For the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of (a) the vector sum A + B

Adding Vector Components | Physics with Professor Matt Anderson | M3-07

Anderson Video - Displacement Vectors and Adding Vectors

For the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of (c) the vector difference A - B

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