Write the conditions for intersecting the two lines r- -a- - -1- -lb- - -1- and r- -a- - -2- -lb- - -2-

Given: r⃗ =a⃗ ⃗_⃗ ⃗1⃗ +lb⃗ ⃗_⃗ ⃗1⃗ and r⃗ =a⃗ ⃗_⃗ ⃗2⃗ +b⃗ ⃗_⃗ ⃗2⃗ . ∴ conditions for intersecting the two lines are [ a⃗ ⃗_⃗ ⃗2⃗ a⃗ ⃗_⃗ ⃗1⃗b ...

156

You visited us 156 times! Enjoying our articles? Unlock Full Access!

Cross Product of Two Vectors

Write the con...

Question

Write the conditions for intersecting the two lines $\to r =_{1} + l_{1}$ and $\to r =_{2} + l_{2}$ .

Open in App

Solution

Suggest Corrections

Similar questions

The lines $\to r = \to i - \to j + λ (2 \to i + \to k)$ and $\to r = (2 \to i - \to j) + μ (\to i + \to j - \to k)$ intersect for

\to r = \to a + λ (\to b \times \to c)

\to r = \to b + μ (\to c \times \to a)

The point of intersection of the lines $\to r \times \to a = \to b \times \to a$ and $\to r \times \to b = \to a \times \to b$ is

\to r =^i +^j -^k + λ (3^i -^j)

\to r = 4^i -^k + μ (2^i + 3^k)

\to b \times \to d =^0

\to r = \to a + λ \to b

\to r = \to c + λ \to d

\to r = \to a + s (\to b + \to c)

\to r = \to b + t (\to c + \to a)

Join BYJU'S Learning Program