Question

Find a vector~a=~ABwhereA= (2,3) andB= (5,7) then draw its equivalentrepresentations starting at pointC= (0,2) and a unit vector~uin the same direction startingat the pointD= (0,5).

Answer 1

Answer:

Step-by-step explanation:

Given that vector a has starting point (2,3) and end point (5,7)

Direction ratios of AB = (5-2, 7-3) = (3,4)

Magnitude = $\sqrt{3^2+4^2} =5$

a) Starting point (0,2)

Distance= 5 units from (0,2) and direction ratios (3,4)

So the point will be of them (0+3t, 2+4t)

Distance = 5t units.  So t =1

So point is (3,6)

b) When starting point =(0,5)

End point with same direction would be

(0+3, 5+4) = (3,9)