Position vectors of P and Q are p̄ and q̄. The point R divides PQ internally in ratio m:n. Position vector of R:
A(p̄ + q̄)/2
B(mq̄ + np̄)/(m+n)
C(mp̄ + nq̄)/(m+n)
Dp̄ - q̄
Answer & Solution
Correct answer: B. (mq̄ + np̄)/(m+n)
Section formula (internal division in ratio m:n from P toward Q): r̄ = (mq̄ + np̄)/(m+n). Note ORDER: the larger ratio multiplier goes with the second point.
Related questions
Three vectors $\vec a, \vec b, \vec c$ are coplanar if and only if:The cross product $\vec a\times\vec b$ of two parallel non-zero vectors is:The dot product $\vec a\cdot\vec b$ of $\vec a = 2\hat i - \hat j + 3\hat k$ and $\vec b =The magnitude of the vector $\vec a = 3\hat i + 4\hat j$ is:The magnitude of the vector $\hat{i}+\hat{j}+\hat{k}$ is:For any vector $\vec a$, the dot product $\vec a\cdot\vec a$ equals:The value of $\hat{i}\times\hat{j}$ is:The dot product of $(2\hat{i}+3\hat{j}+\hat{k})$ and $(\hat{i}-\hat{j}+\hat{k})$ is: