Subjects

Sections | |||
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Review of Vectors vs. Scalars | 2 mins | 0 completed | Learn |

Introduction to Vectors | 7 mins | 0 completed | Learn |

Adding Vectors Graphically | 23 mins | 0 completed | Learn |

Vector Composition & Decomposition | 12 mins | 0 completed | Learn |

Adding Vectors by Components | 14 mins | 0 completed | Learn |

Trig Review | 24 mins | 0 completed | Learn |

Unit Vectors | 16 mins | 0 completed | Learn |

Introduction to Dot Product (Scalar Product) | 12 mins | 0 completed | Learn |

Calculating Dot Product Using Components | 12 mins | 0 completed | Learn |

Additional Practice |
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Vectors in 3D |

Intro to Cross Product (Vector Product) |

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Concept #1: Vector Addition By Components

Example #1: Adding Vectors

For the vectors shown in the figure, determinePart A. the magnitude of 2A − 3B + 2C. Express your answer using three significant figures.Part B. the direction of 2A − 3B + 2C. Express your answer using three significant figures.

For the vectors shown in the figure, determinePart A. the magnitude of B − 3A. Express your answer using three significant figures.Part B. the direction of B −3A. Express your answer using three significant figures.

A.) Draw the vector C⃗ =A⃗ +2B⃗ .A⃗ = 4iB⃗ = -iB.) Draw the vector C⃗ =1.5A⃗ −3B⃗ .A⃗ = 4i + 2jB⃗ = -iC.) Draw the vector C⃗ =0.5A⃗ +2BA⃗ = 4i + 2jB⃗ = 1i - 1j

Six vectors (A to F) have the magnitudes and directions indicated in the figure.a. Which two vectors, when added, will have the largest x component?b. Which two vectors, when added, will have the largest y component?c. Which two vectors, when subtracted (i.e., when one vector is subtracted from the other), will have the largest magnitude?

Find vector C? such that A? +B? +C? =0? . Write your answer in component form.Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients using two significant figures.

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