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vectors
chapter 11 - vectors
Term | Definition |
---|---|
equal and negation of vectors | two vectors are equal if they are equal in length and parallel the negation of a vector means that it’s equal in the direct opposite direction |
triangle law for vector addition | AB + BC = AC |
subtracting vectors | a - b = a + (-b) |
parallel vectors | a vector parallel to b can be expressed as a constant*b, where b is a non-zero scalar |
column vs i-j notation | (a b) = ai +bj, where i,j represent unit vectors that are perpendicular to each other |
vectors multiplied by a scalar | k(ai + bj) = kai + kbj |
addition of two vectors | (ai + bj) + (ci + dj) = (a+c)i + (b+d)j |
the magnitude of a vector | |a| = sqrt(a^2 + b^2) |
the unit vector in the direction of vector a | a/|a| |