Vector a = (2, 1, 2) Vector b = (1, 2, 4) Vector p = (k, k, k)
Vector a to vector b = vector b - vector a = (1, 2, 4) - (2, 1, 2) = (1 - 2, 2 - 1, 4 - 2) = (-1, 1, 2) Vector a to vector p = vector p - vector a = (k, k, k) - (2, 1, 2) = (k - 2, k - 1, k - 2)
Vector a to b is perpendicular to vector a to p if the dot product of vector a to vector b and vector a to vector p is equal to zero. i.e. (-1, 1, 2) . (k - 2, k - 1, k - 2) = 0 -1(k - 2) + (k - 1) + 2(k - 2) = 0 -k + 2 + k - 1 + 2k - 4 = 0 2k -3 = 0 2k = 3 k = 3/2
Compare that with what we would have with a linear increase (2%): ... Now we shall examine the differences displayed with the functions in our example ... An exponential function with a > 0 and b > 1, like the one above, represents an .... Overview · Writing linear equations using the slope-intercept form · Writing linear.
