Vectors (from Activity) Flashcards
Find the magnitude of vector V = 2i- 5j.
√29 or approximately 5.39
Find the direction cosines and direction angles of the vector A = 2i- 3j + 4k.
i = 0.37, j = -0.56, k = 0.74, θi = 68.20°, θj = 123.85°, θk = 42.03°
Find the dot product of the vectors A= 3i + 4j- k and B = i + 2j + 3k.
8
Find the angle between the vectors A= 3i + 4j- k and B = i + 2j + 3k.
65.21°
Find the vector product( cross product ) of the vectors A= 3i + 4j- k and B = i + 2j + 3k.
14i - 10j + 2k
Find the sum of the 2 vectors A = 3i- 5k and B = 2i + 4j- k.
5i + 4j - 6k
A force vector F = 2i + 3j is applied to a particle and its moves the particle from ( 1, 2 ) to ( 5, 8 ). Find the work done by the force. Force in N and distance in m.
26 J
Find the area of a parallelogram with vertices at A( 1, 2, 3 ), B( 1, 3, 6 ), C( 3, 8, 6 ), and D( 3, 7, 3 ).
16.28 m²
Find the volume of a parallelepiped determined by the vectors a= 6, 3,- 1 , b = 0, 1, 2 , and c = 4,- 2, 5
82 m³
The vectors A = 2i- yj + 5k is parallel to vector B = 4i + 6j + 10k. Find y.
-3
Angle between vectors formula
cosθ= (A * B)/|A||B|