True-False Quiz Questions 1 to 4: False Statements about Vectors, Dot & Cross Products

in hive-196037 •  15 days ago 


In this video I go over the first 4 questions of the True-False Quiz on the Vectors and the Geometry of Space Chapter. These 4 questions are all false, and I discuss why for each question. The first falsely states that the dot product is a vector. The second falsely equates the length of a vector sum as the sum of its vector lengths. The third forgets the cosine function in the length of a dot product formula, and the 4th forgets the sine functions in the length of a cross product formula.

Time stamps:

  • True-False Quiz for Vectors and the Geometry of Space: 0:00
  • Question 1: False, dot product is not a vector: 0:11
  • Question 2: False, adding vectors has a different length than their individual lengths: 1:14
  • Question 3: False, length of dot product formula is missing a cosine function: 4:50
  • Question 4: False, length of cross product formula is missing a sine function: 6:35
    • For perpendicular vectors, the sine function is equal to 1: 7:40

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