CONCEPT PREVIEW Refer to vectors a through h below. Make a cop...

Question

CONCEPT PREVIEW Refer to vectors a through h below. Make a copy or a sketch of each vector, and then draw a sketch to represent each of the following. For example, find a + e by placing a and e so that their initial points coincide. Then use the parallelogram rule to find the resultant, as shown in the figure on the right.

2c

2c

Accepted Answer

Welcome back everyone. In this problem, we want to sketch the vector of five M using vector M as a reference. No, the vector five M vector five M is basically a multiple of the vector M. OK. And recall that here, if we let K, which is the value of our scalar, which in this case, five, given K equals five, the vector km has the magnitude K times the magnitude of M. In other words, five M is going to be five times the size of M OK. So you K equals 55 M equals five multiplied by M. So we just need to draw M five times bigger. We also notice here that M is, or rather K or scalar value is positive. And when K is positive, it means it's going in the same direction. So we are going to draw M five times bigger and in the same direction as M now you can realize here, I don't have that space for M. So let's just sketch M as a smaller vector here. Let's just say that this is M then five M will be five times as long. So good thing, it's a sketch, I can just draw a vector here just to give you an idea. But what we're saying here, its magnitude is gonna be five times M OK? And it will be going in the same direction. I think I can get rid of this part here. So therefore this vector, let me try to add some uh color to it here. Let's make it look nice. This vector would be a sketch of vector five M. Thanks a lot for watching everyone. I hope this video helped.

Key Concepts

Vector Addition

Parallelogram Rule

Scalar Multiplication of Vectors

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