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Ann [662]
3 years ago
10

If a is a vector and c is a scalar, how is ca related to a gemotrically? How do you find ca algebraically?

Mathematics
1 answer:
liq [111]3 years ago
6 0

Answer:

Geometrically, ca is an extension or contraction of a, and algebraically is a multiplication of c times every coordinate of a.

Step-by-step explanation:

<em>A vector is an element of a vectorial space which could have n-coordinates</em> (or dimensions). <em>A scalar is just a number</em> (they don't specify if it is real, complex, rational, etc.).

In order to find ca (or c*a), we have that, in general

a=(x_{1},x_{2},...,x_{n})

is the vector a, and ca is c times the vector a

ca=(x_{1},x_{2},...,x_{n})=(cx_{1},cx_{2},...,cx_{n})

Geometrically, this <em>represents an extension or contraction of the vector a</em>.

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