10 Let u be the vector with initial point P7 3 and terminal

10. Let u be the vector with initial point P(7, 3) and terminal point Q(1, 4). Express u Let u be the vector with initial point P(7, in terms of i and ji point Q(1,4), Express Ans:

Solution

given P =(7,3) and Q = (1 ,4)

We can solve this problem by using below vector formula

If u is a vector with initial point P (x₁ , y₁) and terminal point Q =(x₂ ,y₂) then u is equal to position vector

u =[(x₂ -x₁) , (y_{2 -}y₁)]

Here x₁ =7 ,y₁ =3 x₂ =1 y₂ = 4

we have to express u in the form of ai +bj =u

a = x₂ -x₁ b =y₂ -y₁

a = 1-7 =-6 , b =4-3 =1

a = -6 b = 1

now ai +bj = -6i +1j