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Даны векторы. При каком значении m эти векторы перпендикулярны bar(a)(4;3)" и " bar(b)(m;2)

55. Даны векторы. При каком значении m эти векторы перпендикулярны\newlineaˉ(4;3) и bˉ(m;2) \bar{a}(4 ; 3) \text { и } \bar{b}(m ; 2)

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Q. 55. Даны векторы. При каком значении m эти векторы перпендикулярны\newlineaˉ(4;3) и bˉ(m;2) \bar{a}(4 ; 3) \text { и } \bar{b}(m ; 2)
  1. Identify vectors given: Identify the vectors given: vector a=(4,3)a = (4, 3) and vector b=(m,2)b = (m, 2).
  2. Recall perpendicularity condition: Recall the condition for perpendicularity: Two vectors are perpendicular if their dot product is 00.
  3. Calculate dot product: Calculate the dot product of vectors aa and bb: (4,3)⋅(m,2)=4m+6(4, 3) \cdot (m, 2) = 4m + 6.
  4. Set dot product equal: Set the dot product equal to zero to find mm: 4m+6=04m + 6 = 0.
  5. Solve for m: Solve for m: 4m=−64m = -6, m=−6/4m = -6 / 4, m=−1.5m = -1.5.

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