Why are VECTORS important?

"VECTOR, 1. A variable quantity that can be resolved into components. 2. A straight line segment whose length is magnitude and whose orientation in space is direction. (Princeton WordNet Database, as used in WordWeb Dictionary.) Can you exemplify the difinition and make it more useful to me, thank you!"

6 replies

over 13 years ago

"math goes on forever we start by counting objects 1 = o, 2 = oo, 3= ooo etc later we make pairs of numbers (..) but he (..) is itself one number of a different type, example a point on a graph but Vector is an entirely different kind of ""number"" (, a, b) or (ai + bj ) depending on notation then there are 3 or higher dimensional vectors and tensors and quadriaon, and complex numbers ...etc"

pafmavasa

about 13 years ago

Denoting a type of graphical representation using straight lines to construct the outlines of objects

to see other 4 answers

Vectors

Show that the set S = {(1, 3, -4, 2)T, (2, 2, -4, 0)T, (1, -3, 2, -4)T, (-1, 0, 1, 0)T} in ℝ4 is linearly dependent by verifying that r = 4, s = -3, t = 2, w = 0 satisfies the definition.

Dominique97

almost 9 years ago

Mathematics

Vectors

Let S = {A  M2x2(ℝ) | a12 = -a21}. Show that S is a subspace of M2x2(ℝ)

Anjurie

over 9 years ago

Linear Algebra

Linear Algebra: Vectors

Show that |a+b|^2 + |a-b|^2 = 2|a|^2 +|b|^2

bobsayshi

over 7 years ago

Physics

Work + Vectors + Dot Product

(Every direction is a vector) Let "N hat"

represent the direction horizontally north, "N E hat"

represent northeast (halfway between north and east), and so on. Each direction specification can be thought of as a unit vector. Rank from the largest to the smallest the following dot products. Note that zero is larger than a negative number. If two quantities are equal, display that fact in your ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (a) "N hat dot N hat"

(b)

ahalya

over 13 years ago

Advanced Physics

How do you write unit vectors for these vectors.? Physics homework.?

"How do you write unit vectors for these vectors.? Physics homework. Take a look here: http://i303.photobucket.com/albums/nn129/wvmounti31/YF-01-48.jpg 1) Write the vector B in the figure in terms of the unit vectors i(hat) and j(hat) . 2) Use unit vectors to express the vector C, where C= 3.00 A- 4.00B . 3) Find the magnitude of C. 4) Find the direction of C. Thanks!"