A laser pointer is situated at the point (3, 1, 4) and is pointing a linear beam in the direction ⟨−1, 2, −2⟩ towards the plane 4x − y − 5z = 7. On the plane is a target at the point (1, 12, −3). (a) Does the laser hit the target? If not, where does the laser hit the plane, and how far away is this from the target. (b) [C] How far off is the angle of the laser from hitting the target? Give your answer in degrees, rounded to 3 decimal places
A laser pointer is situated at the point (3, 1, 4) and is pointing a linear beam in the direction ⟨−1, 2, −2⟩ towards the plane 4x − y − 5z = 7. On the plane is a target at the point (1, 12, −3). (a) Does the laser hit the target? If not, where does the laser hit the plane, and how far away is this from the target. (b) [C] How far off is the angle of the laser from hitting the target? Give your answer in degrees, rounded to 3 decimal places
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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A laser pointer is situated at the point (3, 1, 4) and is pointing a linear beam in the direction ⟨−1, 2, −2⟩
towards the plane 4x − y − 5z = 7. On the plane is a target at the point (1, 12, −3).
(a) Does the laser hit the target? If not, where does the laser hit the plane, and how far away is this from
the target.
(b) [C] How far off is the angle of the laser from hitting the target? Give your answer in degrees, rounded to
3 decimal places
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