Help with component form of a vector

Jomo said:
Of course it is not correct. V is a multiple of u. u= <3,-5>. Any multiple of u would be in the form of < some number, some number>.
Your answer of 11.64 is not in the correct form and therefore must be wrong. It is just a single number.
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First time very viewing this topic therefore I was not aware I needed two numbers I watched a video and the person ended up with one number
 
winniethemath said:
I believe they just asked for one number
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You asked us to explain how to get the components of vector v, given that its magnitude is 12 units and its direction is the same as u.

Is that not the exercise?

?
 
winniethemath said:
… I watched a video and the person ended up with one number
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Maybe they were finding the magnitude of a vector, instead. That's a single number (it's a length).

Now that you know the answer takes the form v =〈a, b〉can you finish writing the compnents a and b? See post #20.

?
 
Let u = <5, 12>. Let 4 be a scaler (any real number for you). Then 4u = 4<5,12> = <4*5, 4*12> = <20, 48>. Got it?
 
Otis said:
Hi winnie. What is that number? They asked for the two components of vector v.

A unit vector has length 1. We get the unit vector for u by dividing each of its components by its magnitude. Multiply that unit vector by 12, and you will have the compnents of vector v.

?
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I meant (6,-10)
 
winniethemath said:
I meant (6,-10)
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Did they ask you to round each component to the nearest Integer? If so, then your answer is correct. Otherwise, report the exact components (fractions, with √34 in the denominators).

\(\;\)
 
Suppose v is a unit vector (means its magnitude is 1) in the direction of u <5,12>. Find v.

Step 1: compute ||u|| = [5^2 + 12^2]^(1/2) = 13.

Now v = (1/13)<5,12> = <5/13, 12/13>. Got it?
 
Otis said:
Did they ask you to round each component to the nearest Integer? If so, then your answer is correct. Otherwise, report the exact components (fractions, with √34 in the denominators).

\(\;\)
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Yes it was an option if not I would have left the square root of 34. Thanks!
 
winniethemath said:
… I got 11.64 but I do not believe it is correct.
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If you calculate the magnitude of the vector 〈6, −10〉and round the result to two places, you'll get 11.64 units. Maybe that's what you were doing, by mistake.

\(\;\)
 
Otis said:
Very good. You're done.

In the future, please provide the complete exercise statement (including all instructions, multiple choices, options, etc.).

Cheers ?
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I did! Just that the professor accepts rounded numbers. It was not asked in the question. There was no multiple choice or anything that was all that was given!
 
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