Find the coordinates and length of vector a, if vector a = vector -b + 1,2 vector c, vector b {3; -2}, vector c {-6; 2}.

univerkov | April 8, 2021 | education

In order to multiply a vector by a number, you need to multiply its coordinates by this number, then:

1.2c = (-6 * 1.2; 2 * 1.2) = (-7.2; 2.4).

Then:

-b + 1.2c = ((-3 + (-7.2)); (- (- 2) + 2.4) = (-10.2; 4.4).

The length of the vector will be:

| a | = √ (-10.2) ^ 2 + 4.4 ^ 2) = √ (104.04 + 19.36) = 11.1.

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