Share/Like This Page
Browse Questions

Common Core Standard HSN-VM.B.4b Questions

Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

You can create printable tests and worksheets from these questions on Common Core standard HSN-VM.B.4b! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4b
What is the sum of a vector with magnitude 6 and direction 35° and a vector with magnitude 12 and direction 190°?
  1. Magnitude 7.0, direction 168.9°.
  2. Magnitude 17.6, direction 133.9°.
  3. Magnitude 10.7, direction 135.5°.
  4. Magnitude 15.7, direction 170.5°.
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4b
If [math]vec{a}[/math] has magnitude 21 and direction 55°, and [math]vec{b}[/math] has magnitude 15 and direction 320°, what is the magnitude and direction of [math]vec{a} + vec{b} ? [/math]
  1. Magnitude 22.9, direction 57.8°.
  2. Magnitude 25.3, direction 37.2°.
  3. Magnitude 26.8, direction 357.9°.
  4. Magnitude 24.7, direction 17.8°.
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4b
If [math]vec{v}[/math] has magnitude of 8 and direction 200°, and [math]vec{w}[/math] has magnitude of 10 and direction 265°, what is the magnitude and direction of [math]vec{v} + vec{w} ?[/math]
  1. Magnitude 9.8, direction 36.5°.
  2. Magnitude 3.7, direction 163.5°.
  3. Magnitude 15.2, direction 236.5°.
  4. Magnitude 12.2, direction 213.9°.
Grade 11 Vectors CCSS: HSN-VM.A.3, HSN-VM.B.4, HSN-VM.B.4b
Two boats are pulling a very large, derelict boat behind them. One boat is exerting a force of [math]1.1 xx 10^6 [/math] N on the derelict boat in the direction S10°W. The second boat is pulling with a force of [math]1.3 xx 10^6[/math] N in the direction S5°E. What is the resulting force acting on the derelict boat and in what direction? Round answers to the nearest whole unit.
  1. The resulting force is [math]1.4 xx 10^6[/math] N, in the direction S7°E.
  2. The resulting force is [math]2.4 xx 10^6[/math] N, in the direction S2°W.
  3. The resulting force is [math]3.7 xx 10^5[/math] N, in the direction S8°W.
  4. The resulting force is [math]1.6 xx 10^6[/math] N, in the direction S2°E.
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4b
If [math]||vec{n}|| = 2||vec{m}||[/math], the direction of [math]vec{n}[/math] is 40°, and the direction of [math]vec{m}[/math] is 160°, in which quadrant does the sum of these vectors lie, and why?
  1. Quadrant I, since the resulting direction of the sum of the vectors is 70°.
  2. Quadrant I, since the resulting direction of the sum of the vectors is 30°.
  3. Quadrant II, since [math]vec{m}[/math] is much farther from the positive x-axis than [math]vec{n}[/math] (even though [math]||vec{m}|| < ||vec{n}||[/math] ).
  4. Along the positive y-axis (so not in any quadrant), since the direction of the sum of the vectors is 90°.

Become a Pro subscriber to access Common Core questions

Unlimited premium printables Unlimited online testing Unlimited custom tests

Learn More About Benefits and Options

You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.