Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Three vectors ( )
MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra
Problem Three vectors a \mathbf{a} a ∣ a ∣ ≠ 0 |\mathbf{a}| \neq 0 ∣ a ∣ = 0 b \mathbf{b} b c \mathbf{c} c a × b = 3 a × c \mathbf{a} \times \mathbf{b} = 3\mathbf{a} \times \mathbf{c} a × b = 3 a × c ∣ a ∣ = ∣ b ∣ = 1 |\mathbf{a}| = |\mathbf{b}| = 1 ∣ a ∣ = ∣ b ∣ = 1 ∣ c ∣ = 1 3 |\mathbf{c}| = \frac{1}{3} ∣ c ∣ = 3 1 b \mathbf{b} b c \mathbf{c} c 60 ∘ 60^\circ 6 0 ∘ b = 3 c + a \mathbf{b} = 3\mathbf{c} + \mathbf{a} b = 3 c + a b = 3 c − a \mathbf{b} = 3\mathbf{c} - \mathbf{a} b = 3 c − a a = 6 c + 2 b \mathbf{a} = 6\mathbf{c} + 2\mathbf{b} a = 6 c + 2 b a = 6 c − 2 b \mathbf{a} = 6\mathbf{c} - 2\mathbf{b} a = 6 c − 2 b Browse the problem library