Practice: Calculate the dot product between A = (6.6 **i** - 3.4 **j** - 6.4 **k** ) and B = (8.6 **i** + 2.6 **j** - 5.8 **k**).

Subjects

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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: Calculate the dot product between A = (6.6 **i** - 3.4 **j** - 6.4 **k** ) and B = (8.6 **i** + 2.6 **j** - 5.8 **k**).

Example #1: Calculating the Angle Between 2 Vectors Using the Dot Product

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Concept #1: Calculating Dot Product Using Vector Components

Practice #1: Calculating Dot Product of 3D Vectors

Example #1: Calculating the Angle Between 2 Vectors Using th...

The vectors A = (−î + 3ĵ) meters and B = (2î + 4ĵ − k̂) meters represent two sides of a triangle.(a) Give a vector that represents the third side.(b) Find the scalar product A·B.(c) Find the angle between A and B.(d) Find the component BA of B along A.(e) Find a unit vector C that lies on the x − y plane and is perpendicular to A. Hint: think of A·C.

The vectors A and B are given by A = 3.46î + 3.22ĵ, B = −1.57î + 1.49ĵ. Find the angle between A and B.1. 93.55532. 28.84593. 48.32494. 62.65655. 28.44136. 57.51287. 81.04658. 76.96079. 44.644510. 67.2516

What is the dot product ( scalar product) of the two vectors given below?A = 3i +4j - 4kB = 2j +4k

A particle with charge − 6.00 nC is moving in a uniform magnetic field B⃗ =−( 1.23 T )k^. The magnetic force on the particle is measured to be F⃗ =−( 4.00×10−7 N )i^+( 7.60×10−7 N )j^.1-Calculate the scalar product v⃗ ⋅F⃗ , given that v = -(102.98 m/s)i - (54.20 m/s)j2-What is the angle between v⃗ and F⃗ ? Give your answer in degrees.

A. What is the angle ? between vectors E? and F? in the figure? (Figure 1)B. Use components to determine the magnitude of G? =E? +F ?C. Use components to determine the direction of G? =E? +F ?

Find the angle between each of the following pairs of vectors A =Axi + Ayj and B =Bxi + ByjAx2= 3.20, Ay2 = 6.00; Bx2 = 11.8, By2 = 6.80.

Find the angle between each of the following pairs of vectors A =Axi + Ayj and B =Bxi + ByjAx3= -4.00, Ay3 = 2.00; Bx3 = 7.00, By3 = 14.00.

Find the angle between the following pair of vectors A = Ax î + Ay ĵ and B = Bx î + By ĵ.Ax1 = -2.20, Ay1 = 6.60; Bx1 = 2.00, By1 = -2.30.

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