Class 12

Math

Algebra

Vector Algebra

A vector has components $p$ and 1 with respect to a rectangular Cartesian system. The axes are rotted through an angel $α$about the origin the anticlockwise sense. Statement 1: IF the vector has component $p+2$and 1 with respect to the new system, then $p=−1.$ Statement 2: Magnitude of the original vector and new vector remains the same.