# Vectors

Not what you're looking for?

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

VECTOR PROBLEMS

(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

##### 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.

##### Graphs and Functions

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

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Probability Quiz

Some questions on probability