Find the value of lambda for which the ...

Find the value of `lambda` for which the vectors `2i-4j+5k`, `i-lambdaj+k` and `3i+2j-5k` are coplanar.

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
MAXIMUM PUBLICATION|Exercise EXAMPLE|136 Videos

Similar Questions

Explore conceptually related problems

Find the area of a parallelogram for which the vectors 2i+j,3i+j+4k are adjacent sides.

Find the projection of a vector i+3j+7k on the vector 7i-j+8k .

The value of mif the vectors 4 i - 3 j + 5k and mi - 4 j + k are perpendicular, is

Find the angle between the vectors veca=2i+j-k and vecb=i-j+k .

Find the area of a parallelogram whose adjacent sides are the vector 2i+j+k and i-j .

Find the angle between the vectors veca=3i+4j+k and vecb=2i+3j-k .

Find the direction cosine of the vector 2i+2j-k.

The angle between the vectors i+j and j+k is

Show that the points A, B and C with position vectors veca=3i-4j-4k,vecb=2i-j+k and vecc=i-3j-5k respectively form the vertices of a right angled triangle.

The triangle formed by the three points whose position vectors are 2i + 4j -k , 4i +5j + k and 3i + 6j - 3k , is

MAXIMUM PUBLICATION-VECTOR ALGEBRA-EXAMPLE

Consider the vectors veca=i-7j+7k,vecb=3i-2j+2k. Find the area of ...
Text Solution
|
If the points A and B are (1,2,-1) and (2,1,-1) respectively, then vec...
Text Solution
|
Find the value of lambda for which the vectors 2i-4j+5k, i-lambdaj+k ...
Text Solution
|
Find the angle between the vectors veca=2i+j-k and vecb=i-j+k.
Text Solution
|
(veca-vecb)times(veca+vecb) is equal to a)veca b)abs(veca)^2-abs(ve...
Text Solution
|
Using vectors, show that the points A(1,2,7),B(2,6,3),C(3,10,-1) are...
Text Solution
|
Find a vector in the direction of vecr=3i-4j that has a magnitude of ...
Text Solution
|
For any three vectors veca,vecb and vecc, and, prove that (veca+vecb)+...
Text Solution
|
Find a unit vector perpendicular to veca+vecb and veca-vecb, where vec...
Text Solution
|
Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points.Find vec(AB) and v...
Text Solution
|
Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points .Find the projecti...
Text Solution
|
Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points Find the area of...
Text Solution
|
ABCD is a parallelogram with A as the origin. vecb and vecd are posit...
Text Solution
|
ABCD is a parallelogram with A as the origin. vecb and vecd are posit...
Text Solution
|
ABCD is a parallelogram with A as the origin. vecb and vecd are posit...
Text Solution
|
If veca,vecb,vecc,vecd respectively are the position vectors represent...
Text Solution
|
Find the projection vector of vecb=i+2j+k along the vector veca=2i...
Text Solution
|
Find the area of a parallelogram for which the vectors 2i+j,3i+j+4k ar...
Text Solution
|
Write the magnitude of a vector veca in terms of dot product.
Text Solution
|
If veca,vecb,veca+vecb are unit vectors, then prove that the angle bet...
Text Solution
|