Vector Calc Easy Q: Solutions Here

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thanks
 
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calculusisrad said:
Find c such thy v=I+2j-k and w=-I +5j +ck are perpendicular.

Is this right?
V * w = 0 (dot product)
So set the dot product equal to 0 and solve to get c = 9 ?

Or is it more complicated?

Thanks
That's the way to do it !

Also, a force of 50 lbs is directed 50 deg above horizontal, pointing right. Determine horizontal and vertical components and display results in a figure.

I used the pythagorean theorem to get horizontal= 50cos50 and so on for vertical. But I don't get how to draw the forces, the book shows them at weird angles but I thought they would just be drawn horizontally and vertically?

Thanks!
This is also correct.
 
calculusisrad said:
Find c such thy v=I+2j-k and w=-I +5j +ck are perpendicular.

Is this right?
V * w = 0 (dot product)
So set the dot product equal to 0 and solve to get c = 9 ?

Or is it more complicated?

Thanks

nope, that's exactly what you do.



Also, a force of 50 lbs is directed 50 deg above horizontal, pointin right. Determine horizontal and vertical components and display results in a figure.

I used the pythagorean theorem to get horizontal= 50cos50 and so on for vertical. But I don't get how to draw the forces, the book shows them at weird angles but I thought they would just be drawn horizontally and vertically?

Thanks!

i agree with you. i can't speak for what the book has drawn.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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