Radial and Transverse Components of Velocity and Acceleration A point in Polar coordinate system is represented by p(r, θ) where r is ...
Prove that (a+b)/an-bn , if n is a positive even integer Proof: We prove it with the help of mathematical induction. CASE – I ...
Proof: The product of three consecutive integers which are divisible by 6 is: ⟹ 6 /n(n+1)(n+2) We have to prove it by mathema...
What is Curvature Curvature Definition: The rate of binding of a curve is called curvature and its reciprocal is called radiu...
Tangential and Normal Component of Velocity and Acceleration
Cartesian Component of Velocity And Acceleration
Position of Moving Particle Consider a particle in xy-plane moving along a curve AB . Let at any time 't' , the particle...
Kinematics Mechanics The branch of science in which we deal with the action of force on bodies at rest or motion is called mechanics. ...
Introduction to Topology · Theory of Sets Topology is one of those branches of mathematics, where set theory is used extensi...
Theorem: Prove that if n is an odd integer then 8/n^2 -1. Proof: We prove it by mathematical induction CASE-I For n=1 = n^2 -1...
Theorem: If a, b belongs to Z then show that If a/b and b/a this implies a = ±b. If a/b and b/c then a/c. If a/b then a/bc. If a/b...
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Show that the vectors 5a + 6b + 7c, 7a - 8b + 9c, 3a + 20b + 5c are coplanar. Where a, c, and c are non-coplanar. -
Prove that the four points 2a + 3b - c, a - 2b + 3c, 3a + 4b -2c and a - 6b + 6c are coplanar, where a, b, c are no-coplanar Prove t... -
If a and b are unit vectors and θ is the angle between them, then how do I prove that sin θ/2 = ½ |a-b|? -
Prove that the three points -2a + 3b + 5c, a + 2b + 3c and 7a - c are colinear, where a, b, c are non-coplanar.
