Suppose vector i = [-3,4,-6] and originates at point A at (1,5,-3) and terminates at point B at (3,6,9) a. Find vector and write it in both ordered pair and unit vector notation b. Find a normal to vectors and c. Find a unit vector that is the same magnitude as the normal you obtained in question 2, part b. d. Use the dot product to verify that the normal you obtained in question 2, part b is orthogonal to both vectors i and e. Suppose vectors and are both direction vectors in a plane that also contains the point (2,-4,7). Determine: L A vector equation for the plane Parametric equations for the plane A scalar equation for the plane

Suppose vector i = [-3,4,-6] and originates at point A at (1,5,-3) and terminates at point B at (3,6,9) a. Find vector and write it in both ordered pair and unit vector notation b. Find a normal to vectors and c. Find a unit vector that is the same magnitude as the normal you obtained in question 2, part b. d. Use the dot product to verify that the normal you obtained in question 2, part b is orthogonal to both vectors i and e. Suppose vectors and are both direction vectors in a plane that also contains the point (2,-4,7). Determine: L A vector equation for the plane Parametric equations for the plane A scalar equation for the plane

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Directions: Prepare, or complete, a flowchart proof and a two-column proof for the following problems. Given: AE and BD bisect each other 1. Prove: AABC = AEDC E Flowchart Proof: Two-column Proof: Statements Reasons All Rights Reserved © MathBits.com
AB-BC=12, then AB=
INSTRUCTIONS: For the assignment below, prepare answers in a Word document (.doc or .docx) and submit a single file to the Dropbox. You should use Excel to calculate your answers, and be sure to submit both your calculations and final answers. Calculations can be pasted from Excel into your Word document. Note that Excel calculations are supporting documentation, but you still need to explain the exact answers in narrative form in order to receive full credit. In addition to the textbook, check out the Unit 5 Resources section for additional content including PowerPoints and video tutorials that might aid you in your calculations. You can find a "case study template" to use under Course Home. Remember to include a title page, introduction, conclusion, and reference list. See further below for grading rubric. NOTE: You will need to access the 'Analysis Toolpak' in Excel in order to perform the calculations for this case. If you have not already installed this free add-in, please…
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