Reading the equations

Exercise and reference answers

Questions

1. Question

   In r = a + λb, the vector b gives

   Choices

   1. the direction of the line
   2. a point on the line
   3. the length

   Correct choice

   the direction of the line

2. Question

   In r = a + λb, the vector a gives

   Choices

   1. the direction
   2. the position vector of a point on the line
   3. the angle

   Correct choice

   the position vector of a point on the line

3. Question

   Which form passes through two given points?

   Choices

   1. r = a + λb
   2. l² + m² + n² = 1
   3. r = a + λ(b − a)

   Correct choice

   r = a + λ(b − a)

4. Question

   In the Cartesian form, the denominators l, m, n are

   Choices

   1. direction cosines
   2. coordinates
   3. angles

   Correct choice

   direction cosines

Explanation