a = 2i + 5j +k and b = 4i + mj + nk are collinear vectors, then find m and n.
Answers
Answer : ⇒ m = 10 And n = 2
Given that
⇒ the vectors 2i + 5j +k and 4i + mj + nk are collinear vectors.
Collinear means the vectors lying on the Same Line.
So the vectors can be
- Parallel
- Anti-parallel
In both cases, the ratio of their respective components will be Equal.
So we have
4i + mj + nk &
2i + 5j +k
Comparing both, we get
4/2 = m/5 = n/1
2 = m/5 = n/1
⇒ 2 = m/5 And 2 = n/1
⇒ m/5 = 2 And n/1 = 2
⇒ m = 5 (2) And n = 2
⇒ m = 10 And n = 2
Answer:
Step-by-step explanation:
Answer : ⇒ m = 10 And n = 2
Given that
⇒ the vectors 2i + 5j +k and 4i + mj + nk are collinear vectors.
Collinear means the vectors lying on the Same Line.
So the vectors can be
Parallel
Anti-parallel
In both cases, the ratio of their respective components will be Equal.
So we have
4i + mj + nk &
2i + 5j +k
Comparing both, we get
4/2 = m/5 = n/1
2 = m/5 = n/1
⇒ 2 = m/5 And 2 = n/1
⇒ m/5 = 2 And n/1 = 2
⇒ m = 5 (2) And n = 2
⇒ m = 10 And n = 2