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awesomegamergurl13
31.08.2019 •
Mathematics
Find a vector that has the same direction as 6i + 4j but that has a different magnitude.
options are:
4i+6j
2i+3j
3i+2j
8i+6j
explain how, i want to learn the material.
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Ответ:
If we factor a 2 out of each component we get this,
2 < 3, 2 >
This now represents a scalar times the vector < 3, 2 >.
Let's just give it a different scalar value to find a vector in the same direction.
1 < 3, 2 > = 3i + 2j
3 < 3, 2 > = 9i + 6j
4 < 3, 2 > = 12i + 8j
So there are some other vectors going in the same direction as 6i + 4j but with different magnitudes. We can see that 3i + 2j is one of our options, ya?
Ответ:
the answer will be 75%