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MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra
Problem Statement I If r = x i ^ + y j ^ + z k ^ \mathbf{r} = x\hat{i} + y\hat{j} + z\hat{k} r = x i ^ + y j ^ + z k ^ r × ( 2 i ^ − j ^ + 3 k ^ ) = 3 i ^ + k ^ represents a straight line. \mathbf{r} \times (2\hat{i} - \hat{j} + 3\hat{k}) = 3\hat{i} + \hat{k} \text{ represents a straight line.} r × ( 2 i ^ − j ^ + 3 k ^ ) = 3 i ^ + k ^ represents a straight line. Statement II If r = x i ^ + y j ^ + z k ^ \mathbf{r} = x\hat{i} + y\hat{j} + z\hat{k} r = x i ^ + y j ^ + z k ^ r × ( i ^ + 2 j ^ − 3 k ^ ) = 2 i ^ − j ^ represents a straight line. \mathbf{r} \times (\hat{i} + 2\hat{j} - 3\hat{k}) = 2\hat{i} - \hat{j} \text{ represents a straight line.} r × ( i ^ + 2 j ^ − 3 k ^ ) = 2 i ^ − j ^ represents a straight line. Browse the problem library