point of intersection
Not what you're looking for?
Figure in attachment shows a cuboid OABCDEFG, where O is the origin. A has position vector 5i, C has position vector 10j and D has position vector 20k.
(a) Find the cosine of angle CAF.
Given that the point X lies on AC and that FX is perpendicular to AC,
(b) find the position vector of point X and the distance FX.
The line l1 passes through O and through the midpoint of the face ABFE. The line l2 passes through A and through the midpoint of the edge FG.
(c) Show that l2 and l2 intersect and find the coordinates of the point of intersection.
Purchase this Solution
Solution Summary
This solution finds the coordinates of the point of intersection.
Solution Preview
From the given information, the position vectof of F is given by
a) for the angle CAF, we consider the vecors AC and AF which are given by and
Angle CAF=
b) the direction ratios of the vector AC are -5, 10 ie -1, 2, 0
Any point X on the line AC is given by . ...
Purchase this Solution
Free BrainMass Quizzes
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.
Probability Quiz
Some questions on probability
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.