Find a unit vector perpendicular to t...

Find a unit vector perpendicular to the plane determined by the points `(1,-1,2),(2,0,-1)a n d(0,2,1)dot`

`(-2i+j+k)/(sqrt6)`

`(2i-j+k)/(sqrt6)`

`(2i+j-k)/(sqrt6)`

`(2i+j+k)/(sqrt6)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

VECTORS
MARVEL PUBLICATION|Exercise PREVIOUS YEARS MHT-CET EXAM QUESTIONS|10 Videos
VECTORS
MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
TRIGONOMETRIC FUNCTIONS
MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 Videos

Similar Questions

Explore conceptually related problems

Find a unit vector perpendicular to the plane determined by the points (1,-1,2),(2,0,-1) and (0,2,1)

Find the vector perpendicular to the plne determined by the points P(1,-2,2), Q(2,0,-1 ) and R(0,2,1)

A unit vector n perpendicular to the plane determined by the points A (0, -2, 1), B (1, -2, -2) and C (-1, 1, 0)

Find the unit vector perpendicular to the plane of a triangle passing through the points (1,1,2),(2,3,5) and (1,5,5)

Find a unit vector normal to the plane through the points (1, 1, 1), (-1, 2, 3) and (2, -1, 3) .

Find the vector equation of the point determined by the points A (3,-1,2), B (5, 2, 4) and C (-1, -1, 6) Hence, find the distance of the plane, thus obtained, from the origin.

Find the vector equation of the plane passing through the points (1,1,0),(1,2,1) and (-2,2,-1)

Coordinate of a point Q such that PQ, where P(2,1,6) is perpendicular to the plane determined by (2,1,0),(5,0,1) and (4,1,1) and mid-point of PQ lies on it,is

Find the equation of a plane passing through the pint P(6,\ 5,\ 9) and parallel to the plane determined by the points A(3,\ -1,\ 2)B(5,\ 2,\ 4)a n d\ C(-1,\ -1,\ 6)dot Also find the distance of this plane from the point A.

The vector equation of the plane passing through the points (1,-2,1),(2,-1,-3) and (0,1,5) is

MARVEL PUBLICATION-VECTORS-TEST YOUR GRASP

Find a unit vector perpendicular to the plane determined by the poi...
Text Solution
|
If ABCDEF is a regular hexagon , then bar(AB) + bar(AC) + bar(AE) + ...
Text Solution
|
If the origin is the centroid of a triangle ABC having vertices A(a ,1...
Text Solution
|
If alpha,beta ,gamma are direction angles of a line , then cos 2alpha ...
Text Solution
|
If |bar(u)| = sqrt(3) and bar(u) is equally inclined to co - ordinate...
Text Solution
|
If vectors 2i-j+k,i+2j-3k and 3i+aj+5k are coplaner, then a=
Text Solution
|
If bara.i = 4, then bara.[j xx (2j - 3k)]=
Text Solution
|
The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...
Text Solution
|
If veca vecb are non zero and non collinear vectors, then [(veca, vecb...
Text Solution
|
If bara,barb,barc are non-coplaner vectors and barp=(barbxxbarc)/([bar...
Text Solution
|
If direction ratios of two lines are 2,-6,-3 and 4,3,-1 then directi...
Text Solution
|
If the volumes of parallelepiped with coterminus edges -pj+5k,i-j+qk a...
Text Solution
|
A line makes 45^(@) with OX, and equal angles with OY and OZ. Then the...
Text Solution
|
If the points with position vectors -i + 3j + 2k , -4i + 2j - 2k and 5...
Text Solution
|
If bara.barb=barb.barc=barc.bara=0 and bara,barb,barc form a right-han...
Text Solution
|
If bara,barb,barc are non-coplaner vectors, then (bara.(barbxxbarc))/...
Text Solution
|
i · (j xx k) + j · (k xx i) + k · (i xx j ) =
Text Solution
|
If bara=2i+3j-k,barb=-i+2j-4k and barc=i+j+k, then (baraxxbarb).(barax...
Text Solution
|
If vectors 2hati-hatj+hatk ,hati+2hatj-3hatk and 3hati+mhatj+5hatk are...
Text Solution
|
2i · (j xx k) - 3j · (i xx k) - 4k · (i xx j) =
Text Solution
|
If vectors bara,barb,barc are non-coplaner, then ([bara+2barb barb+2...
Text Solution
|