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statuscvo [17]
3 years ago
8

use vectors to decide whether the triangle with vertices p(1,-3,-2), Q(2,0,4), R(6,-2,-5) is right-angled.

Mathematics
1 answer:
kupik [55]3 years ago
4 0
The direction vectors for the three sides are given by the differences in the vertices, not the vertices themselves. So consider the vectors
P−Q,P−R,Q−RP−Q,P−R,Q−Rand see whether any of these are orthogonal.
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a student walks 8 steps east 6 steps northeast 9 steps north west what is her displacement? include magnitude and direction
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The displacement is 18.03 steps, and the direction is 47.25°

<h3>How to get the displacement?</h3>

We know that displacement is the difference between the final position and the initial position.

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First, the student moves 8 steps east, so she is at:

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Finally, she moves 9 steps due north, so we have:

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So the displacement is:

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The magnitude of the displacement is:

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So the magnitude is 18.03 steps.

And the direction is given by the arctangent of the quotient between the y-component and the x-component:

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If you want to learn more about displacements:

brainly.com/question/4931057

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