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Find the Area of the Parallelogram That Has the Vectors u=2i+j+k,v=5i5j+5k\mathbf { u } = 2 \mathbf { i } + \mathbf { j } + \mathbf { k } , \mathbf { v } = 5 \mathbf { i } - 5 \mathbf { j } + 5 \mathbf { k }

Question 35

Multiple Choice

Find the area of the parallelogram that has the vectors as adjacent sides.
u=2i+j+k,v=5i5j+5k\mathbf { u } = 2 \mathbf { i } + \mathbf { j } + \mathbf { k } , \mathbf { v } = 5 \mathbf { i } - 5 \mathbf { j } + 5 \mathbf { k }


A) 5
B) 14\sqrt { 14 }
C) 10\sqrt { 10 }
D) 4
E) 5145 \sqrt { 14 }

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