100. The magnitude of v= (a, b, c) is given by v| - Va + B + 2. Find the magnitude of each vector. %3D a. v = (-8, 2, 12> b. w 3i-9j+ 12k

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a vector v in a plane is a line segment with a specified direction, where the component form is given by two coordinates
A vector v in a plane is a line segment with a specified direction, where the component form is given by
two coordinates (a, b).Similarly, we may define a vector w in three-dimensional space as a line
segment in space with a specified direction where the component form is given by three coordinates (a,
b, c .
For example, a vector w from the origin to a point P (2, 3, 3) is given in component form as w (2, 3,
3) or, in terms of the unit vectors i= (1,0, 0) ,j= (o, 1, 0) , and k= (0,0, 1), as w 2i+3j +3k.
Use this convention for Exercises 99-100.
P(2,3, 3)
100. The magnitude of v = (a, b, c) is given by vl = Va + b + 2. Find the magnitude of each vector.
a. v = (-8, 2, 12>
b. w 3i-9j+ 12k
Transcribed Image Text:A vector v in a plane is a line segment with a specified direction, where the component form is given by two coordinates (a, b).Similarly, we may define a vector w in three-dimensional space as a line segment in space with a specified direction where the component form is given by three coordinates (a, b, c . For example, a vector w from the origin to a point P (2, 3, 3) is given in component form as w (2, 3, 3) or, in terms of the unit vectors i= (1,0, 0) ,j= (o, 1, 0) , and k= (0,0, 1), as w 2i+3j +3k. Use this convention for Exercises 99-100. P(2,3, 3) 100. The magnitude of v = (a, b, c) is given by vl = Va + b + 2. Find the magnitude of each vector. a. v = (-8, 2, 12> b. w 3i-9j+ 12k
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