Find the Area of the Parallelogram That Has the Vectors $$\mathbf { u } = 2 \mathbf { i } + \mathbf { j } + \mathbf { k } , \mathbf { v } = 5 \mathbf { i } - 5 \mathbf { j } + 5 \mathbf { k }$$

question 108

Multiple Choice

Find the area of the parallelogram that has the vectors as adjacent sides.
$$\mathbf { u } = 2 \mathbf { i } + \mathbf { j } + \mathbf { k } , \mathbf { v } = 5 \mathbf { i } - 5 \mathbf { j } + 5 \mathbf { k }$$

• A) 5
• B) \(\sqrt { 14 }\)
• C) \(\sqrt { 10 }\)
• D) 4
• E) \(5 \sqrt { 14 }\)

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