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MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra
Problem Let a = 2 i ^ + j ^ + k ^ \mathbf{a} = 2\hat{i} + \hat{j} + \hat{k} a = 2 i ^ + j ^ + k ^ b = i ^ + 2 j ^ − k ^ \mathbf{b} = \hat{i} + 2\hat{j} - \hat{k} b = i ^ + 2 j ^ − k ^ c \mathbf{c} c c \mathbf{c} c a \mathbf{a} a c \mathbf{c} c 1 2 ( − j ^ + k ^ ) \frac{1}{\sqrt{2}}(-\hat{j} + \hat{k}) 2 1 ( − j ^ + k ^ ) − 1 3 ( i ^ + j ^ + k ^ ) -\frac{1}{\sqrt{3}}(\hat{i} + \hat{j} + \hat{k}) − 3 1 ( i ^ + j ^ + k ^ ) 1 5 ( i ^ − 2 j ^ ) \frac{1}{\sqrt{5}}(\hat{i} - 2\hat{j}) 5 1 ( i ^ − 2 j ^ ) 1 3 ( i ^ + j ^ + k ^ ) \frac{1}{\sqrt{3}}(\hat{i} + \hat{j} + \hat{k}) 3 1 ( i ^ + j ^ + k ^ ) Browse the problem library