Anyone please help me

Mathematics

1 answer:

Verdich [7]2 years ago

4 0

9) Original price: $45 ; discount rate : 20% off
Discount   = $45 * 20%   =   $9
Sales price = $45 - $9   = $36

10) Original price : $450 ; discount rate : 30% off
Discount   = $450 * 30% = $135
Sales price = $450 - $135 = $315

11) Original price : $48 ; discount rate : 15% off
Discount   = $48 * 15% =   $7.20
Sales price = $48 - $7.20 = $40.80

12) Original price : $150 ; discount rate : 25% off
Discount   = $150 * 25% =   $37.50
Sales price = $150 - $37.50 = $112.50

13) Original price : $1,450 ; discount rate : 40% off
Discount   = $1,450 * 40% = $580
Sales price = $1,450 - $580 = $870

14) Original price : $82 ; discount rate : 50% off
Discount   = $82 * 50% = $41
Sales price = $82 - $41 = $41

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Show that if u+v and u-v are orthognal, then the vectors u and v must have the same length.

pashok25 [27]

Answer with Step-by-step explanation:

We are given that

u+ v and u-v are orthogonal

We have to prove that u and v must have the same length.

When two vector a and b are orthogonal then

$a\cdot b=0$