15 Questions

Questions and Answers

- 1.
- A.
14.4 units , 4 units

- B.
12 units, 8 units

- C.
20 units, 4 units

- D.
None of these answers

- 2.Given the vectors A = (3i - 4j + 4k) and B = (2i + 3j - 7k), find the
*magnitude*of the vector C = A + B. (3 significant figures) - 3.Given the vectors A = (3i - 4j + 4k) and B = (2i + 3j - 7k), find the
*magnitude*of the vector C = 2A - B. (3 significant figures) - 4.It is a scalar that is the product of the magnitude of A multiplied to the component of B along A.
- 5.It is another vector whose magnitude is equal to the area of the parallelogram formed by A and B and directed perpendicular to both A and B in the Right-hand method.
- 6.Which is the correct way of denoting the Vector product of two vectors A and B?
- A.
A · B

- B.
A (B)

- C.
A x B

- D.
A * B

- 7.Which is the correct way of denoting the Scalar product of two vectors A and B?
- A.
A * B

- B.
A · B

- C.
A x B

- D.
A (B)

- 8.For the two vectors A = 3i + 2j and B = 4i + 5k. Find the scalar product A · B. (3 significant figures)
- 9.For the two vectors A = 3i + 2j and B = 4i + 5k. Find the Vector product A x B.
- 10.If the component vector A along the direction of vector B is zero, what can you conclude about the two vectors?
- A.
Vectors A and B are parallel to each other.

- B.
Vectors A and B are anti-parallel to each other.

- C.
Vectors A and B are perpendicular to each other.

- D.
Vectors A and B are at an angle with respect to the other.

- 11.Eto mejo mahirap yata?If A = (6i - 8j) units, B = (-8i + 3j) units, and C = (26i + 19j) units, determine
*a*and*b*such that*a*A +*b*B + C = 0. note: answer must be in the following format --> a, bexample na sagot na ita-type: 3, 7 - 12.Find the angle between the following two vectors:A = -2.00
*i*+ 6.00*j*B = 2.00*i - 3.00**j*(three significant figures) - 13.Find the angle between the following two vectors: A = 3.00
*i*+ 5.00*j*B = 10.00*i + 6.00**j*(three significant figures) - 14.Find the angle between the following two vectors: A = -4.00
*i*+ 2.00*j*B = 7.00*i + 14.00**j*(three significant figures) - 15.Given two vectors
*A*= 4.00i + 3.00j and*B*= 5.00i - 2.00j, find the magnitude and direction of*A*x*B*. note: express answer in terms of*unit vectors*and must be in*3 significant figures*. must be*simplified*already