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28 lip 2015 · Two vectors are perpendicular if and only if their scalar product is equal to $0$ i.e. the angle between them is $\pi/2$ radians. This should give you enough information to find your answer!
- Vector Analysis
I know that any vector that is perpendicular to $\vec{u}$...
- Marcus M
Q&A for people studying math at any level and professionals...
- Perpendicular vectors in 3d
1. u ⋆ = a × u. Pick an arbitrary vector a which is not...
- Vector Analysis
Vectors are useful tools for solving two-dimensional problems. Life, however, happens in three dimensions. To expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space.
1. The vectors perpendicular to (3, 4, − 2) form a two dimensional subspace, the plane 3x + 4y − 2z = 0, through the origin. To get solutions, choose values for any two of x, y and z, and then use the equation to solve for the third.
Vectors are useful tools for solving two-dimensional problems. Life, however, happens in three dimensions. To expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space.
1. u ⋆ = a × u. Pick an arbitrary vector a which is not parallel to u and do a cross product. The result is perpendicular to both vectors. You can use a fixed vector such as a = ˆx, a = ˆy or a = ˆz by selecting the least parallel (lowest a ⋅ u value).
This calculator performs all vector operations in two- and three-dimensional space. You can add, subtract, find length, find vector projections, and find the dot and cross product of two vectors. For each operation, the calculator writes a step-by-step, easy-to-understand explanation of how the work has been done. Vectors 2D Vectors 3D.
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