Introduction to...

If $$P(x,y,z)$$ is a point on the line segment joining $$A (2,2,4)$$ and $$B(3,5,6)$$ such that projection of $$\vec{OP}$$ on axes are $$\displaystyle \frac{13}{5},\frac{19}{5},\frac{26}{5}$$ respectively, then P divide AB in the ratio

Find the distance between the points whose position vectors are given as follows

$$-2\hat i+3\hat j+5\hat k, 7\hat i-\hat k$$

The points $$A(5, 1, 1), B(7, 4, 7), C(1, 6, 10)$$ and $$D(-1, 3, 4)$$ are the vertices of a

If $$P\left( x,y,z \right) $$ is a point on the line segment joining $$Q\left( 2,2,4 \right) $$ and $$R\left( 3,5,6 \right) $$ such that the projection of $$\overline { OP } $$ on the axes are $$\displaystyle\frac { 13 }{ 5 } ,\frac { 19 }{ 5 } ,\frac { 26 }{ 5 } ,$$ respectively, then $$P$$ divides $$QR$$ in the ratio

Find the distance between the points whose position vectors are given as follows

The plane $$XOZ$$ divides the join of $$(1, - 1, 5)$$ and $$(2, 3, 4)$$ in the ratio $$\lambda : 1$$, then $$\lambda$$ is -

Find the distance between the pairs of points whose cartesian coordinates are $$(2,3,-1), (2,6,2).$$

Find the distance between the points whose position vectors are given as follows

The ordinate of the point which divides the lines joining the origin and the point $$(1,2)  $$ externally in the ratio of $$3:2$$ is