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2 years ago

Find the measure of the missing angles.

Mathematics

1 answer:

oksano4ka [1.4K]2 years ago

4 0

We know that vertically opposite angles are equal.

So, k = 131° [Vertically opposite angles]

and g = 43° [Vertically opposite angles]

We know that linear pair of angles are supplementary (180°).

So, h + 43° = 180° [Linear pair of angles]

=> h = 180° - 43°

=> h = 137°

and m + 131° = 180° [Linear pair of angles]

=> m = 180° - 131°

=> m = 49°

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2 years ago

Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k

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$\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\$

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k, the vector projection of B unto a is expressed as $proj_ab = \dfrac{b.a}{||a||^2} * a$

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square both sides

||a||² = (√130)

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$proj_ab = \dfrac{6}{130} * (5i+11j-2k)\\\\proj_ab = \frac{30}{130} i+\frac{11}{130} j-\frac{12}{130} k\\\\proj_ab = \frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\\\$

<em>Hence the projection of b unto a is expressed as </em> $\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\$ <em></em>

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3 years ago

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