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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
PLEASE EXPLAIN HOW, I WANT TO LEARN THE MATERIAL.

2 Answers

7 votes

Answer:

a on edge

Explanation:

hope this helps

answered
User Paul Androschuk
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7.9k points
7 votes
6i + 4j written in component form is < 6, 4 >.

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?
answered
User Tompee
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8.6k points