If (a + 3) XY | a | is a quaternion of X and y, then the value of a is () A. 3B. -3C. 13D. ±4 | Math enthusiast | Mathematical art

If (a + 3) XY | a | is a quaternion of X and y, then the value of a is () A. 3B. -3C. 13D. ±4

∵ (a + 3) XY | a | is a binomial of degree four with respect to X and y, | a + 3 ≠ 0, | a | = 3, the solution is a = 3

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