Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
MODERN PUBLICATION-VECTOR-EXERCISE
- What is the value of (hat i+hat j)×(hat j+hat k).(hat k+hat i)?
Text Solution
|
- If vec Avec C and vec Bvec D are the diagonals of the parallelogram AB...
Text Solution
|
- Find the area of the parallelogram whose adjacent sides are gives by t...
Text Solution
|
- If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |ve...
Text Solution
|
- Determine the area of parallelogram whose adjacent sides are the vecto...
Text Solution
|
- Prove that (vec a × vec b)^(2) = a^(2)b^(2)-(vec a . vec b)^(2).
Text Solution
|
- Prove that (vec a × vec b).(vec c × vec d) = [[vec a.vec c,vec a.vec d...
Text Solution
|
- Find a unit vector in direction of vec a-vec b, when vec a = 4 hat i +...
Text Solution
|
- If vec a and vec b be perpendicular vectors, then prove that (vec a + ...
Text Solution
|
- Find the value of lambda so that the three vectors are co-planar. (2,-...
Text Solution
|
- Determine k such that a vector vec(r) is at right angles to each of th...
Text Solution
|
- Find the scalar and vector projection of veca on vecb. veca = hati+hat...
Text Solution
|
- Calculate the area of the triangle ABC (by vector method) where A(1,2,...
Text Solution
|
- Prove that : |veca + vecb|le|veca|+|vecb|.
Text Solution
|
- Show that vec a × (vec b+vec c) + vec b × (vec c+vec a) + vec c × (vec...
Text Solution
|
- If vec(a) and vec(b) are unit vectors, then what is the angle between ...
Text Solution
|
- Prove by vector method that the diagonals of a parallelogram bisect ea...
Text Solution
|
- Prove by vector method that in a parallelogram, the line joining a ve...
Text Solution
|
- If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...
Text Solution
|
- Prove the following by vector method. Median to the base of an isoscel...
Text Solution
|