Resultant Vectors and Their Properties

In this video tutorial, Ray G explains how to solve for the resultant of two vectors using the cosine and sine laws. The tutorial covers the application of these formulas to problems where vectors do not have a specific direction like north, east, south, or west. The video provides a detailed example of calculating the resultant vector when an object moves 50 meters and then turns 60 degrees. The cosine law is used to find the resultant vector, and the sine law is applied to determine the angle opposite a given side. The final result is a vector of 70 meters at 21.8 degrees towards the left.

What are the two laws discussed in the video for solving resultant vectors?

• Pythagorean and Tangent Laws

• Cosine and Sine Laws

• Ohm's and Kirchhoff's Laws

• Newton's and Kepler's Laws

In what kind of problems are the cosine and sine laws applicable?

• Problems with exact directions like north or south

• Problems related to electrical circuits

• Problems involving gravitational forces

• Problems involving resultant vectors without exact directions

What is the initial distance covered by the object before turning?

• 100 meters

• 30 meters

• 70 meters

• 50 meters

What angle does the object turn to its left side?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Which formula is used to calculate the magnitude of the resultant vector?

• Sine law

• Cosine law

• Tangent law

• Pythagorean theorem

What is the angle opposite the resultant vector in the triangle?

• 150 degrees

• 90 degrees

• 60 degrees

• 120 degrees

How is the angle opposite the resultant vector calculated?

• By adding 60 to 180

• By subtracting 60 from 180

• By dividing 180 by 60

• By multiplying 60 by 3

Which law is used to find the direction of the resultant vector?

• Tangent law

• Sine law

• Pythagorean theorem

• Cosine law

What is the resultant vector's magnitude?

• 70 meters

• 80 meters

• 60 meters

• 50 meters

What is the direction of the resultant vector?

• 21.8 degrees towards the left

• 60 degrees towards the right

• 30 degrees towards the left

• 21.8 degrees towards the right