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Find the vector equation of the followin...

Find the vector equation of the following planes in cartesian form :
`" "vecr=hati-hatj+lamda(hati+hatj+hatk)+mu(hati-2hatj+3hatk)`.

A

`barr.(5hati-2hatj-3hatk)=7`

B

`barr.(5hati-2hatj-3hatk)=5`

C

`barr.(5hati+2hatj-3hatk)=7`

D

`barr.(5hati+2hatj-3hatk)=5`

Text Solution

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The correct Answer is:
A
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Find the vector equation of the following plane in product form vecr = ( hati-hatk)+lambda(hati+2hatj)+mu(hati+3hatj-hatk) .

Find the vector equation of the plane in which the lines vecr=hati+hatj+lambda(hati+2hatj-hatk) and vecr=(hati+hatj)+mu(-hati+hatj-2hatk) lie.

Find the Cartesian equations of the following planes whose vector equations are: vecr.(2hati-7hatj+4hatk)+=0

The vector equation of the plane containing he line vecr=(-2hati-3hatj+4hatk)+lamda(3hati-2hatj-hatk) and the point hati+2hatj+3hatk is

Find the angle between each of the following pair of line: vecr=5hati-7hatj+lamda(-hati+4hatj+2hatk) vecr=-2hati+hatk+mu(3hati+3hatk)

Determine whether the following pair of lines intersect or not. i. vecr=hati-hatj+lamda(2hati+hatk), vecr=2hati-hatj+mu(hati+hatj-hatk)

Find the Cartesian equations of the following planes whose vector equations are: vecr.(3hati+3hatj-4hatk)=0

Find the Cartesian equations of the following planes whose vector equations are: vecr.(hati+hatj-hatk)=2

which of the following point lies on plane contaning lines vecr=hati+lambda(hati+hatj+hatk) and vecr = -hatj+mu(-hati-2hatj+hatk)

Determine whether the following pair of lines intersect: vecr=hati-hatj+lamda(2hati+hatk) and vecr=2hati-hatj+mu(hati+hatj-hatk)

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