Find the vector equation of a line passing through the point (1, 3, 4) and parallel to the vector i - j + 2k.

April 13, 2026Mathematics

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April 13, 2026

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i + 3j + 4\mathbf{k}$

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Q1. The vector equation of a line passing through the point $(1, 3, 4)$ and parallel to the vector $\mathbf{i} - j + 2\mathbf{k}$ is given by the formula $\mathbf{r} = a + \lambda \mathbf{b}$ , where $\mathbf{a}$ is the position vector of the point and $\mathbf{b}$ is the direction vector. Given point: $(1, 3, 4) \implies a = i + 3j + 4\mathbf{k}$ Given parallel vector

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Hey nkemdivo — ready when you are. Here are the solutions to the questions: Q1.

Asked on April 13, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 13, 2026

Hey nkemdivo — ready when you are. Here are the solutions to the questions: Q1. The vector equation of a line passing through the point (1, 3, 4) and parallel to the vector i - j + 2k is given by the formula r = a + b, where a is the position vector of the point and b is the direction vector. Given point: (1, 3, 4) a = i + 3j + 4k Given parallel vector