Vector Calc Easy Q: Solutions Here

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SUMMARY

The discussion centers on solving vector problems involving dot products and force components. Participants confirm that to determine the value of c in vectors v = i + 2j - k and w = -i + 5j + ck being perpendicular, the dot product must equal zero, leading to the conclusion that c = 9. Additionally, the horizontal and vertical components of a 50 lbs force directed at 50 degrees above the horizontal are calculated using the Pythagorean theorem, specifically horizontal = 50cos(50) and vertical = 50sin(50). There is some confusion regarding the representation of these forces in diagrams.

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calculusisrad
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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.
 

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