Purchase Solution


Not what you're looking for?

Ask Custom Question

Please see attachment. Require problems solving, also explanations etc for better understanding of vectors.


(1) Let l be the line with equation v = a + t u.

Show that the shortest distance from the origin to l can be written | a × u |
| u |

(2) Two planes having equations r . n1 = λ1 and r . n2 = λ2 intersect in the line l.

Show that a = (n1 × n2) × (λ2 n1 - λ1 n2 )
――――――――――― is a point on l.
| n1 × n2 |²

Hence find the point where the three planes

r . n1 = λ1 , r . n2 = λ2 , r . n3 = λ3 .

(Assume that the planes do intersect in a point).

Purchase this Solution

Solution Summary

This shows how to show the shortest distance from origin to a given line

Purchase this Solution

Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.