Vectors

    Cards (5)

    • Position vectors
      AB=\vec{AB}= ba\underline{b}-\underline{a}
    • If a=\underline{a}=xi+\underline{x_i}+yj+\underline{y_j}+zkz\underline{k} then
      a=\left|\underline{a}\right|= x2+y2+z2\sqrt{x^2+y^2+z^2}
    • Unit vector
      a^ =\hat{\underline{a}}\ = 1aa\frac{1}{\left|\underline{a}\right|}\underline{a}
    • Angles with axes:
      cosθx=\cos\theta_x= xa\frac{x}{\left|\underline{a}\right|}
    • Angles with axes:
      cosθz=\cos\theta_z= za\frac{z}{\left|\underline{a}\right|}