Chapters

### Orthogonal Vectors

Two vectors are orthogonal or perpendicular if their dot product is zero. ## Example  Not perpendicular.

### Orthonormal Vectors

Two vectors are orthonormal if:

1. Their dot product is zero.

2.The two vectors are unit vectors.     Calculate the value of k for the vectors = (1, k) and = (−4, k) knowing that they are orthogonal. · = 0 −4 + m² = 0; m = ± 2

If { , } is an orthonormal basis, calculate:

1 · = 1 · 1 · cos 0° = 1

2 · = 1 · 1 · cos 90° = 0

3 · = 1 · 1 · cos 90° = 0

4 · = 1 · 1 · cos 0° = 1

If { , } is an orthonormal basis and are: Calculate the value of k knowing that .    If { , } is an orthonormal basis and are: Calculate the value of k for the two orthogonal vectors.   Did you like the article?     (No Ratings Yet) Loading...

Emma

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