The position vector M, N and R from the origin are m, n and r respectively. If R is a point on MN such that MR = 1/4 RN, find an expression for r in terms of m and n.

May 21, 2026Mathematics

ScanSolve AI Answer

May 21, 2026

Answer

r - \mathbf{m}$$

Here are the solutions to the remaining questions.

Q1) The position vector M, N and R from the origin are $\mathbf{m}$ , $\mathbf{n}$ and $\mathbf{r}$ respectively. If R is a point on $\vec{MN}$ such that $\vec{MR} = \frac{1}{4}\vec{RN}$ , find an expression for $\mathbf{r}$ in terms of $\mathbf{m}$ and $\mathbf{n}$ .

Step 1: Express the vectors $\vec{MR}$ and $\vec{RN}$ in terms of their position vectors. $\vec{MR} = r - \mathbf{m}$ $\vec{RN} = n - \mathbf{r}$

Step

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QIn rectangle ABCD, AB = 3x and BC = 4x. Find the length of AC and BD in terms of x.Q1 Use the diagram below to answer the question that follows. Calculate the length of BC. 3.2 If tan…QDetermine the general term of the number pattern above. How many dots will be needed to build the 10…QDon't understand how to bisect or draw a L1 experiment Pls explain it for me in a layman understandi…QThe maximum and minimum points of sin t + 1/2 cos 2t

See all Mathematics questions →

Still have questions?

Quick Answer

Express the vectors MR and RN in terms of their position vectors.

Asked on May 21, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 21, 2026

Here are the solutions to the remaining questions. Q1) The position vector M, N and R from the origin are m, n and r respectively. If R is a point on MN such that MR = (1)/(4)RN, find an expression for r in terms of m and n. Step 1: Express the vectors MR and RN in terms of their position vectors. MR = r - m RN = n - r Step