Determining Parallel and Perpendicular Vectors and Planes via the Cross and Dot Products

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In this video I review how to determine whether two vectors or planes are parallel or perpendicular. Two vectors are parallel of their cross product is zero, and are perpendicular if their dot product is zero. The angle between two planes can be determining the angle between their normal vectors: if the angle is zero then the planes are parallel.

Timestamps:

• Question 15: 0:00
• Solution to (a): Cross product is zero for parallel vectors: 0:00
• Solution to (b): Dot product is zero for perpendicular vectors: 1:45
• Solution to (c): Angle between normal vectors is zero for parallel planes: 2:30

Full video and playlists:

• Full video:

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Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EMiATrjv8HH3fPwKVsgU6P

Vectors and the Geometry of Space playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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