Vectors |
Contents
Section 1 | 15 |
Section 2 | 28 |
Section 3 | 29 |
Section 4 | 55 |
Section 5 | 61 |
Section 6 | 63 |
Section 7 | 68 |
Section 8 | 72 |
Section 9 | 85 |
Section 10 | 86 |
Section 11 | 93 |
Section 12 | 2 |
Section 13 | 9 |
Section 14 | 59 |
Section 15 | 81 |
Common terms and phrases
a x b a₁ a₂j acute angle AEB P2 b₁i b₂j b₂k cartesian equation coordinates cross product Determine direction cosines direction ratios direction vector dot product EXAMPLE Find the equation Find the perpendicular find the position Find the vector fixed origin fixed point free vector hence find i j k line with vector magnitude marks orthogonal pair of lines parallel parallelogram parametric equations parametric form perpendicular distance plane ABC plane containing point of intersection point with position position vector r₁ r₂ respectively scalar parameters scalar product shortest distance Show sine rule skew lines SOLUTION square units tetrahedron THREE DIMENSIONS triangle ABC unit vector V₁ vector equation vector product x₁ x₁i x₂i y₁ y₁j z₁ µ 2i µ 3i л₁ л₂ ты