Multiplying vectors and scalars

Vector a = 2i + 3j - 5k. What is the value of 3a?

• 3i + 3j - 3k

• 5i + 6j - 8k

• 6i + 9j -15k

• 6i + 6j - 15k

u=<4,2> , v=<7,1> . Find 2u-3v

• <-13,1>

• <-29,7>

• <3,-1>

• <21,3>

Given u = <3, 7>, find 2u

• <21, 2>

• <6, 26>

• <6, 14>

• <5,9>

Given v = 〈3,-5〉 and w = 〈-2,3〉, what is 2v?

• 〈6,-10〉
• 〈1,-2〉
• 〈0,-1〉
• none of these

Which vector is parallel to the vector above

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• undefined

Answer explanation

Perform the scalar multiplication.

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Find the resultant vector.

• <-10, 10>

• <10, -10>

• <15, 25>

• <25, 15>

Simplify.

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• Row 1 : 5.25
  Row 2 : 2
• Row 1 : 2
  Row 2 : 5.25
• Row 1 : 84
  Row 2 : 32
• Row 1 : 32
  Row 2 : 84