Advertisements
Advertisements
Question
Select the correct option from the given alternatives:
Let `bar"p" "and" bar"q"` be the position vectors of P and Q respectively, with respect to O and `|bar"p"| = "p", |bar"q"| = "q"`. The points R and S divide PQ internally and externally in the ratio 2 : 3 respectively. If OR and OS are perpendicular; then
Options
9p2 = 4q2
4p2 = 9q2
9p = 4q
4p = 9q
Solution
9p2 = 4q2
APPEARS IN
RELATED QUESTIONS
Select the correct option from the given alternatives:
The 2 vectors `hat"j" + hat"k"` and `3hat"i" - hat"j" + 4hat"k"` represents the two sides AB and AC respectively of a Δ ABC. The length of the median through A is
Select the correct option from the given alternatives:
The 2 vectors `hat"j" + hat"k"` and `3hat"i" - hat"j" + 4hat"k"` represents the two sides AB and AC respectively of a ΔABC. The length of the median through A is
Find the direction cosines and direction angles of the vector `2hat"i" + hat"j" + 2hat"k"`
P and Q are two points with position vectors `2overlinea + overlineb` and `overlinea - 3overlineb` respectively. The position vector of the point R which divides the line segment PQ in the ratio 1 : 2 externally is ______
The position vector of points A and B are `6bar "a" + 2bar "b"` and `bar "a" - 3bar "b"`. If point C divides AB in the ratio 3:2 then shows that the position vector of C is `3bar "a" - bar "b"`
The position vector of points A and B are 6`\overline"a"` + 2`\overline"b"` and `\overline"a" - 3\overline"b"`. If the point C divides AB in the ratio 3 : 2 then show that the position vector of C is `3\overline"a" - \overline"b"`.
The position vectors of points A and B are `6bara + 2barb and bara − 3barb`. If point C divides AB in the ratio 3: 2 then show that the position vector of C is `3bara − barb`.
