Find a vector which is parallel to A vector= 4i-3j and has same magnitude as B vector 8i+6j
Answers
Answer:
8i-6j
Explanation:
Let the required vector be X.
If X is parallel to A then
A = k.X (k is some Constant)
Magnitude of X = Magnitude of B
Magnitude of B = = 10
Magnitude of X = 10
Now consider , A = k.X
Taking magnitude on both sides we get,
Magnitude of A= k(Magnitude of X)
5 = k (10) ⇒ k=1/2
So A = 1/2(X) ⇒ X = 2A
X = 2(4i-3j) = 8i-6j
Answer
8i-6j
Explanation:
Let the required vector be X.
If X is parallel to A then
A = k.X (k is some Constant)
Magnitude of X = Magnitude of B
Magnitude of B = = 10
Magnitude of X = 10
Now consider , A = k.X
Taking magnitude on both sides we get,
Magnitude of A= k(Magnitude of X)
5 = k (10) ⇒ k=1/2
So A = 1/2(X) ⇒ X = 2A
X = 2(4i-3j) = 8i-6j