If the direction cosines of a line are connected by relation l + 2m + n = 0, 2l - 2m + 3n = 0, then what is the value of l² + m² - n²? - NDA Mathematics 2024 (I)

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If the direction cosines <l, m, n> of a line are connected by relation l + 2m + n = 0, 2l – 2m + 3n = 0, then what is the value of l² + m² – n²?