Questions: For the pair of vectors shown on the right, find the magnitude and direction angle of the resultant. What is the magnitude? (Type an exact answer, using radicals as needed.)

For the pair of vectors shown on the right, find the magnitude and direction angle of the resultant. What is the magnitude? (Type an exact answer, using radicals as needed.)
Transcript text: For the pair of vectors shown on the right, find the magnitude and direction angle of the resultant. What is the magnitude? $\square$ (Type an exact answer, using radicals as needed.)
failed

Solution

failed
failed

Solution Steps

Step 1: Find the components of each vector

The red vector goes from (0,0) to (6,3), so its components are <6,3>.

The blue vector goes from (0,0) to (5,3), so its components are <5,3>.

Step 2: Add the components of the vectors

The resultant vector's components are the sum of the components of the red and blue vectors: <6+5, 3+3> = <11,6>

Step 3: Find the magnitude of the resultant vector.

The magnitude of the vector <11,6> is $\sqrt{11^2+6^2} = \sqrt{121+36}=\sqrt{157}$.

Final Answer:

The magnitude of the resultant vector is $\sqrt{157}$.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Question 44 Diabetes is a chronic disease in which lack of insulin forces body cells to take in excessive glucose. the body can no longer maintain glucose levels high enough to support body functioning. inadequate intake of dietary carbohydrate prompts hypoglycemia. the body can no longer regulate blood glucose levels within normal limits. Question 45 Which of the following conditions is NOT associated with untreated diabetes? osteoporosis cardiovascular disease kidney failure blindness Question 46 Which of the following is NOT associated with type 2 diabetes?
failedAnswered
Which of the following gas samples would have the largest volume, if all samples are at the same temperature and pressure? 65.7 grams of Xe 9 × 10^23 molecules of H2 5.00 moles CO2 they would all have the same volume
failedAnswered
Using the intermediate value theorem, determine, if possible, whether the function f has at least one real zero between a and b. f(x)=x^3+2x^2-8x-3; a=-8, b=-1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. By the intermediate value theorem, the function does not have at least one real zero between a and b because f(a)= and f(b)= (Simplify your answers.) B. By the intermediate value theorem, the function has at least one real zero between a and b because f(a)= and f(b)= ( Simplify your answers.) C. It is impossible to use the intermediate value theorem in this case.
failedAnswered
After falling, a patient's Glasgow Coma Scale (GCS) was 5 initially and 7 after 1 day. The patient remained unconscious for 2 weeks but is now awake, confused, and experiencing anterograde amnesia. This history supports which medical diagnosis? Moderate diffuse brain injury Postconcussive syndrome Severe diffuse brain injury Mild diffuse brain injury
failedAnswered
In the knee joint, the femur articulates with the □ and the patella.