Write the condition for the lines r - a 1 - b 1 - and r - a 2 - b 2 - to be intersecting-

The shortest distance between the lines r #8594;=a1 #8594;+ #955;b1 #8594; #160;and #160;r #8594;=a2 #8594;+ #955;b2 #8594; is given by d=a ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Parallel Lines

Write the con...

Question

Write the condition for the lines $\vec{r} = \vec{a_{1}} + λ \vec{b_{1}} and \vec{r} = \vec{a_{2}} + μ \vec{b_{2}}$ to be intersecting.

Open in App

Solution

Suggest Corrections

Similar questions

\vec{r} = 2 \vec{a_{1}} - 3 \vec{a_{2}} + λ \vec{b_{1}} a n d \vec{r} = \vec{a_{2}} + μ \vec{b_{2}}

[\vec{a_{1}} \vec{b_{1}} \vec{b_{2}}] = k [\vec{a_{2}} \vec{b_{1}} \vec{b_{2}}]

\vec{r} = \vec{a_{1}} + λ \vec{b_{1}} a n d \vec{r} = 2 \vec{a_{2}} + λ \vec{b_{2}}

\frac{[\vec{a_{1}} \vec{b_{1}} \vec{b_{2}}]}{[\vec{a_{2}} \vec{b_{1}} \vec{b_{2}}]}

\vec{r} = \vec{a_{1}} + λ \vec{b} and \vec{r} = \vec{a_{2}} + μ \vec{b} .

If two lines L_{1} = a_{1} + {λb}_{1} and L_{2} = a_{2} + {λb}_{2} are such that b_{1} is parallel to b_{2} and a_{1} \neq a_{2}, then L_{1} and L_{2} will be

If two lines L_{1} = a_{1} + {λb}_{1} and L_{2} = a_{2} + {λb}_{2} are such that b_{1} is parallel to b_{2} and a_{1} \neq a_{2}, then L_{1} and L_{2} will be

Join BYJU'S Learning Program