Contribute & Test Your Skills
- Sets, Relations & Functions
- Complex Numbers & Quadratic Equations
- Matrices & Determinants
- Mathematical Reasoning
- Mathematical Induction
- Permutations & Combinations
- Sequences & Series
- Continuity
- Integral Calculus
- Differential Equations
- Binomial Theorem
- Co-Ordinate Geometry
- Vector Algebra
- Three Dimensional Geometry
- Statistics & Probability
- Trigonometry
- Differentiability
- Functions
- Limits
- Differentiation
- Application of Derivative
- Difinite Integrals
- Area Under The Curve
- Indices & Surds
- Partial Fractions
- Quadratic Equation
- Exponential Logarithmic Series
- Binary Operations
- Computing
- Regular Cartesian Coordinate
- Straight Lines
- Ellipse
- Hyperbola
- Parabola
- Height & Distances
- Inverse Trigonometrical Functions
- Hyperbolic Functions
- Correlation Regression
- Measure of Central Tendency
- Statistics
- Numerical Methods
- Linear Programming
Popular Questions
- if a unit vector a makes pie /3 with i pie /4 with j and
- A force of magnitude √6 acting along the line joining the points
- A and B are two points. The position vector of A is 6 b - 2 a
- P is the point of intersection of the diagonals of the parallelogram abcd. If o is any point,then
- Let a, b and c be three unit vectors, out of which vector b and c are non - parallel.
- a, b, c, d, e are five coplanar points, then
- respectively be the position vectors of the points a, b and c with respect to the origin o .
- let a = i + j + root 2 k, b=b1 i + b2 j root 2k and
- Let a and b be two unit vectors. If the vectors
- If the position vectors of the vertices of a triangle be 2i + 4j - k, 4i + 5j + k and 3i + 6j - 3k, then the triangle is
- If a and b are position vectors of A and B respectively
- The magnitude of cross product of two vectors is √3 times the dot product. The angle between the vector is
- If ABCDEF is a regular hexagon
- If p = i + j, q = 4k - j and r = i + k then the unit vector in the direction of 3p + q - 2r is
- The perimeter of the triangle whose vertices have the position vectors
- The position vectors of P and Q are respectively a and b
- Area of diagonals is, ..., where diagonals are
- If the sum of two units vectors is a unit vector, then the magnitude of their difference is
- If the position vectors of A, B and C are respectively
- A vector perpendicular to 2i + j + k and coplaner with i + 2j + k and i + j + 2k is
- If the position vectors of the vertices of TRIANGLE ABC are
- the distance of point having position vector
- the magnitude of the projection of the vector
- If the position vector of A with respect to O is
- If a and b are two non-zero and non-collinear vectors, then a + b and a - b are
- AB * AC = 2i - 4j + 4k, then the area of triangle ABC is
- Let a = 2i - j + k
- the sum of the district real values of for which the vectors
- a = 2i + 2j - k, b = α j + β j + 2k
- Let u be a vector coplaner with the vectors
- The position vectors of the points A, b, c are (2i + j - k), (3i - 2j + k) and (i + 4j - 3k) respectively. These points
- If p is any pt. within a Δabc, then pa +cp =
- if vectors 3i + j - 5k and ai + bj - 15k are collinear, then
- if the vector a = 2i + j +4k, b =4i - 2j + 3k and c =2i - 3j
- If the angle between the lines
- the angle between the vector
- given vector where vector a and b are non - collinear the value of
- If | a |= 11, |a - b | = 30 and |a + b | = 20, then | b | =
- Let
- A unit vector in the place of
