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Common Core Standard HSN-VM.B.5a Questions

Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy).

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Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a, HSN-VM.B.5, HSN-VM.B.5a
Let →n=〈-6,-1〉,→m=〈10,-10〉. Find 2→m-5→n.
  1. 〈10,25〉
  2. 〈-10,-25〉
  3. 〈50,-15〉
  4. 〈16,9〉
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a, HSN-VM.B.5, HSN-VM.B.5a
Let →a=3ˆi-6ˆj,→b=-ˆi+3ˆj. Find 3→a+2→b.
  1. 7ˆi-3ˆj
  2. 2ˆi-3ˆj
  3. 11ˆi+24ˆj
  4. 7ˆi-12ˆj
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5a
For →v=〈-3,8〉, which of the following is equal to -3→v?
  1. 〈-6,8〉
  2. 〈-9,8〉
  3. 〈9,-24〉
  4. 〈-27,24〉
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5a
If a=-12 and →w=〈6,-1〉, choose the correct value of a →w.
  1. 〈-3,12〉
  2. 〈3,1〉
  3. 〈-3,-1〉
  4. 〈-32,-12〉
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5a
Which of the following is equivalent to 4〈3,-1〉?
  1. 〈12,-4〉
  2. 〈12,-1〉
  3. 〈7,3〉
  4. 〈3,-4〉
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5a
If →u=〈1,-4〉, what is the value of -1→u ?
  1. 〈1,-4〉
  2. 〈0,-5〉
  3. 〈2,-2〉
  4. 〈-1,4〉
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5a
If →u=〈-3,6〉, what is the value of 5→u?
  1. 〈-15,30〉
  2. 〈15,-30〉
  3. 〈2,11〉
  4. 〈-8,1〉
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5a
If →u=〈5,8〉, what is the value of 2→u?
  1. 〈3,6〉
  2. 〈2.5,4〉
  3. 〈10,16〉
  4. 〈7,10〉

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