Practice: A = (4.0 m)**i** + (3.0 m)**j** and B = (−13.0 m)**i **+ (7.0 m)**j**. You add them together to produce another vector C. **(a)** Express this new vector C in unit-vector notation. **(b)** What are the magnitude and direction of C?

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) |

Practice: A = (4.0 m)**i** + (3.0 m)**j** and B = (−13.0 m)**i **+ (7.0 m)**j**. You add them together to produce another vector C. **(a)** Express this new vector C in unit-vector notation. **(b)** What are the magnitude and direction of C?

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Find A + B, given
A = 3i - 2j + 4k
B = -2i - 3j - k

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Let A = 4 î − 2 ĵ, B = −3 î + 5 ĵ, and F = A − 4B .a. Write vector F in component form.b. Draw a coordinate system and on it show vectors A, B, and F.c. What are the magnitude and direction of vector F ?

Given two vectors A = - 2.00 i +
4.00j +
5.00k and B =
3.00i +
2.00j - 3.00 k, find the following.(a) the magnitude of vector A(b) the magnitude of vector B(c) the components of the vector difference A - B(d) the magnitude of the vector difference A - B(e) Is this the same as the magnitude of B - A?

LetWhat is the magnitude of vector E⃗?

Write an expression for the vector difference using unit vectors. Express your answer in terms of unit vectors.

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Find the angle between each of the following pairs of vectors A = Axi+Ayj and B = Bxi+ByjA) Ax1=-3.80, Ay1=4.60, Bx1=1.20, By1=-2.90B) Ax2=2.00, Ay2=6.00, Bx2=10.0, By2=5.20C) Ax3=-4.00, Ay3=2.00, Bx3=7.00, By3=14.00

LetDraw vectors A⃗ , B⃗ , and E⃗ .Draw the vectors starting at the origin. The location, orientation, and length of the vectors will be graded.

Let V = 20.5 i + 22.5 j − 13.5 k.(a) Find the magnitude of V.(b) What angle does this vector make with the x-, y-, and z-axes?

What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude and (c) an angle?

LetWhat is the direction of vector E⃗?

1. Given the vector A=4.00i+7.00j, find the magnitude of the vector 2. Given the vector B=5.00i−2.00j, find the magnitude of the vector.

Given the vector A=4.00i+7.00j and vector B=5.00i−2.00j, 1. Write an expression for the vector difference A−B using unit vectors 2. Find the magnitude of the vector difference A−B.

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