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Vectors · Question 104 of 125

What is AB · AC?

Question 104

MediumOriginal question

A triangle has vertices A(1,1,1)A(1, 1, 1), B(2,3,3)B(2, 3, 3) and C(3,1,2)C(3, 1, 2).

What is AB→⋅AC→\overrightarrow{AB} \cdot \overrightarrow{AC}?

Options for question 104

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. AC→=2i^+k^\overrightarrow{AC} = 2\hat{i} + \hat{k}.

  2. 1(2)+2(0)+2(1)=41(2) + 2(0) + 2(1) = 4.

Worth noting

2 stops after the first product, 1×21 \times 2.

Concept
Computing a scalar product
Typical time
120 s
Your time
—
The rule this testsThe vector product
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