List of top Mathematics Questions on Vector basics asked in MET

If \( a, b, c \) are \( p^{th}, q^{th} \) and \( r^{th} \) terms of a G.P, then the vectors \( \log a \,\hat{i} + \log b \,\hat{j} + \log c \,\hat{k} \) and \( (q-r)\hat{i} + (r-p)\hat{j} + (p-q)\hat{k} \) are

If \(f(x)\) defined by \(f(x) = \begin{cases} \frac{|x^2 - x|}{x^2 - x}, & x \neq 0, 1 \\ 1, & x = 0 \\ -1, & x = 1 \end{cases}\) then \(f(x)\) is continuous for all

If \( a, b \), and \( c \) are non-collinear vectors such that for some scalars \( x, y, z \), the equation \[ x a + y b + z c = 0, \quad x a + x b + x c = 0, \] then