Question
Mathematics Question on Straight lines
If OA→=a→ and OB→=b→, then BA→ is:
A
(A) a→+b→
B
(B) a→
C
(C) b→
D
(D) a→−b→
Answer
(D) a→−b→
Explanation
Solution
Explanation:
If OA→ is the position vector of A and OB→ is position vector of B then-AB→= Position Vector of B− Position Vector of A ......(I)BA→= Position Vector of A− Position Vector of B ......(II)Given, OA→=a→ and OB→=b→Then, by equation (II)BA→= position vector of A− position vector of BBA→=OA→−OB→BA→=a→−b→Hence, the correct option is (D).