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Examples of mathematical vectors
Solution: known | vector c|= 10, | vector d|=2 1, | vector c- vector d|= 17.

Find vector c+ vector d|.

For the convenience of writing, the word "vector" is omitted below.

|c-d}^2=(c-d)^2.

=c^2-2cd+d^2.( 1)

|c+d|^2=c^2+2cd+d^2 ..

=c^2+2cd+d^2.(2)

(1)+(2), so:

(c-d}^2+|c+d|^2=2(c^2+d^2).

|c+d|^2=2(c^2+d^2)-(c-d)^2.

=2( 100+44 1)- 17^2.

= 1082-289.

=793.

∴|c+d|=√793.

| vector c+ vector d|=√793