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Did you read my tips on how to study and learn Math 1300? If not, here is a link to those important suggestions: Did you read my tips for Assignment 1? If not, here is a link to those important suggestions: Here is a link to the actual assignment, in case you don't have it handy: Note that you need to study Lesson 10 (Lines and Planes) from my Linear Algebra & Vector Geometry book to prepare for this assignment. I think you should find this assignment fairly straightforward if you do thoroughly study and do all the
Practise Problems I give you in Lesson 10.
Don't have my book? You can download a free sample of my book and audio lectures containing Lessons 1, 2 and 9: Very similar to my question 4 in Lesson 10.
Part (b) simply requires the cosine of the angle between the two vectors you found in part (a).
Part (c) requires a cross product. Visualize the two planes (like say the floor in your room and a wall in your room; although your planes aren't intersecting
at a right angle). Visualize their two normal vectors and you should see how their cross product does create a third vector that runs parallel to the line of intersection between the two planes.
Part (d) is just a matter of subbing y=0 into both planes equations and then solving the resulting 2 equations with 2 unknowns.
Kind of a combination of my questions 5 and 10 in Lesson 10. Note that, rather than use the distance from a point to a plane formula I give you in Lesson 10, you can find the distance by projecting vector QP onto the normal vector n. The length of that projection
vector is the distance.
Again, just follow their instructions in this problem. Note that the formula for the sine of the angle between two vectors that you learned in Lesson 9 is relevant here. Again, the appropriate projection vector will find the distance they
desire.
Basically a combination of my questions 5 and 6.
A pretty standard application of vectors and planes. Note that the formula you learned for the cosine of the angle between two vectors in Lesson 9 is relevant here.
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