Given vectors m = 4i - 3j and n = -4i + 3j, which of the following statements is correct?
Am and n are equal vectors
Bm and n are parallel vectorsCORRECT
Cm and n are perpendicular vectors
Dm and n are unit vectors
GCEFurther MathematicsVectors2023
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Why the answer is B, and why the others tempt you.
n = -1(4i - 3j) = -m, so n is a scalar multiple of m, making them parallel (anti-parallel). They are not equal since n = -m, not equal to m. Their dot product is -16 - 9 = -25 ≠ 0, so they are not perpendicular.
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