I have no idea what is the first step in the question. Please solve it for me. Following is the question relating to the chapter i.e. Vectors in two dimensions:
{1} If a= (p+q p), b= (3 q+1) and a=b, find the values of p and q.
NB: The bracket of a and b represents column vector.
I will be highly obliged if you answered my question.
If your vectors are orthogonal, then each dimentsion must equal each other.
p=3q and qp=1
No problem, I can help you with that!
To find the values of p and q, we need to use the given information that a is equal to b. Using this equality, we can set up equations for the corresponding components of a and b.
Let's start by equating the first component of a and b:
p + q = 3
Now, equating the second component of a and b:
p = q + 1
We now have a system of equations that can be solved simultaneously.
To solve the system of equations, we can use the method of substitution or elimination. In this case, let's solve by substitution.
Using the second equation, we can substitute the value of p into the first equation:
(q + 1) + q = 3
2q + 1 = 3
2q = 2
q = 1
Now that we have the value of q, we can substitute it back into the second equation to find the value of p:
p = 1 + 1
p = 2
Therefore, the values of p and q are p = 2 and q = 1, respectively.