Class 12 Maths · Chapter 10 · CBSE / NCERT

Vector Algebra

Quantities with a size and a direction. You’ll learn to add vectors, write them in components, the section formula, and the dot and cross products.

14 short lessons · about 65 minutes in all

What you’ll learn

  1. 1Scalars and vectors: size, or size and direction4 min
  2. 2Position vector and its length4 min
  3. 3Direction cosines and direction ratios5 min
  4. 4Kinds of vectors: equal, negative, collinear, unit, zero4 min
  5. 5Adding vectors: the triangle and parallelogram laws5 min
  6. 6Multiplying a vector by a number5 min
  7. 7Writing a vector in parts along the axes5 min
  8. 8The vector from one point to another4 min
  9. 9The section formula with vectors5 min
  10. 10The dot product: how much one vector goes along another5 min
  11. 11Working out the dot product from parts5 min
  12. 12Projection: the shadow of one vector on another4 min
  13. 13The cross product and the right-hand rule5 min
  14. 14Cross product by determinant, and areas5 min

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Scalars and vectors: size, or size and direction · about 4 minutes

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