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Magnitude - Vector
The magnitude, or length, of the vector v→ = (a1, a2, a3) is given by,
||v→|| = √(a12 + a22 + a23)
Example of Magnitude
Illustration: Determine or find out the magnitude of each of the following vectors.
(a) a→ = (3, -5, 10)
(b) u→= (1/5, - 2/5)
(c) W→ = (0,0)
(d) i→ = (1,0,0)
Solution
There is not very much to these other than plug into the formula.
(a) ||a→|| = √(9+25+100) = √134
(b) ||u→|| = √(1/5 + 4/5) = √1 = 1
(c) ||w→|| = √(0+0) = 0
(d) ||i→|| = √(1+0+0) = 1
Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2
4.2^2x+1-9.2^x+1=0
3 3/7 + 2 8/9 * 4=
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