If the vectors AB = -3i + 4k and AC = 5i...

If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a triangle ABC, then the length of the median through A is

A

`sqrt(18)`

B

`sqrt(72)`

C

`sqrt(33)`

D

`sqrt(45)`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

APPENDICES (REVISION EXERCISE)
AAKASH SERIES|Exercise DOT PRODUCT OF TWO VECTORS|34 Videos
APPENDICES (REVISION EXERCISE)
AAKASH SERIES|Exercise CROSS PRODUCT OF TWO VECTORS|17 Videos
APPENDICES (REVISION EXERCISE)
AAKASH SERIES|Exercise LINEAR EQUATIONS|13 Videos
3D-COORDINATE SYSTEM
AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
CHANGE OF AXES
AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

The vectors of bar(AB)=3bar(i)+4bar(k) and bar(AC)=5bar(i)-2bar(j)+4bar(k) are the sides of a triangle ABC. The length of the median through A is

If the position vectors of A, B, C are 2i - 2j + k, 2i + j - k, -2i + j + 15k respectively then the length of the median through A is

The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides of a parallelogram. The angle between its diagonals is

If the vectors AB = hat(i) + 3 hat(j) + 4 hat(k) , AC = 5 hat(i) + hat(j) + 2 hat(k) are two sides of a triangle ABC, whose centroid is G, then |AG|=

If 2i + 3j - 6k, 6i - 2j + 3k, 3i - 6j - 2k represent the sides of a triangle then the perimeter of the triangle is

If vectors vec(A) = hat(i) + 2hat(j) + 4hat(k) and vec(B) = 5 hat(i) represent the two sides of a triangle, then the third side of the triangle can have length equal to:

If P = 2i + 3j - 4k and Q = 5i + 2j + 4k find the angle between the two vectors

If A = i + 2j + 3k and B = 2i - j + 4k, then the position vectors of the points of trisection are

If the vectors 2i - 3j + 4k, I + 2j - k and xi - j + 2k are coplanar then x =

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-PROPERTIES OF VECTORS

Let p bari+3barj+4bark and sqrt(q)bari+5bark be two vectors where p, q...
Text Solution
|
Let f(t)=[t]bari+{t-[t]}barj+[t+1]bark where [.] denotes the greatest ...
Text Solution
|
If bara and barb two non collinear vectors then the points l(1)bara+m(...
Text Solution
|
If the vectors a bari+barj+bark, bari+b barj+bark, bari+barj+c bark (a...
Text Solution
|
The values of lambda such that (x, y, z) ne (0, 0, 0) and (i + j + 3k)...
Text Solution
|
A vector bare whose magnitude is 10 and d.c's are all equal angles mad...
Text Solution
|
ABC is any triangle and P is a point on the side BC. If Q is a point s...
Text Solution
|
In DeltaOAB, E is the mid point of AB and F is a point on OA such that...
Text Solution
|
ABC is a triangle and 'O', any point in the palne of the triangle. The...
Text Solution
|
In a parallelogram ABCD, P is the mid point of the side AD. The line ...
Text Solution
|
OABC is a tetrahedron D and E are the mid points of the edges bar(OA)...
Text Solution
|
In the Cartesian plane, O is the origin of the coordinate axes. A pers...
Text Solution
|
ABCDEF be a regular hexagon in the xy plane and bar(AB)=4bari. Then ba...
Text Solution
|
The projections of a vector on the three coordinate axes are 6, -3, 2 ...
Text Solution
|
If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a ...
Text Solution
|
If bara and barb are non-collinear vectors, then the value of alpha fo...
Text Solution
|
A plane containing the point (3, 2, 0) and the line (x+1)/(1)=(y-2)/(5...
Text Solution
|