Vectors and the Geometry of Space: Review
19 videos • 304 views • by Math Easy Solutions
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1
Vectors and the Geometry of Space: Review of Chapter
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2
Vector Basics: Vectors, Scalars, Addition, and Scalar Multiplication
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3
Position Vector is Parallel to the Vector Between 2 Points
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4
The Dot Product and its Useful Properties
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5
Scalar and Vector Projections: Formulas and Diagrams
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6
The Cross Product and its Useful Properties
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7
Calculating Area of a Parallelogram and Volume of Parallelepiped with the Cross Product
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8
Finding the Normal or Perpendicular Vector of a Plane
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9
Finding the Angle Between Two Intersecting Planes using the Dot Product of their Normal Vectors
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10
Vector, Parametric, and Symmetric Equations of a Line
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11
Vector and Scalar Equations of a Plane
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12
Determining Parallel and Perpendicular Vectors and Planes via the Cross and Dot Products
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13
Determining if 3 Points Lie on the Same Line Using the Cross Product
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14
Four Points are on a Plane if the Scalar Triple Product is Zero
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15
Distance from a Point to a Line using the Cross Product
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16
Distance from a Point to a Plane using the Dot Product
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17
Distance Between Intersecting Lines, Parallel Lines, and Skew Lines
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18
Traces of a Surface: Review and Example on an Ellipsoid whose Traces are Ellipses
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19
Equations of the Six Types of Quadric Surfaces
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