For the vectorsa =1, 4and b =2, 3,find orthab. orthab =

Step-by-step explanation:

Given  vectors a =(1, 4) and b = (2, 3)  we are to find orthab*orthab =

First we need to get

a.b = (1, 4).(2, 3)

a.b = 1(2)+4(3)

a.b = 2+12

a.b = 14

|a| is the modulus of vector a

|a| = √1²+4²

|a| = √1+16

|a| = √17

square both sides

|a|² = (√17)²

|a|² = 17

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

80 the answer is 80

step-by-step explanation: