Vector Calculus Challenge
Vector Calculus Challenge
Welcome to the Vector Calculus Challenge! Test your understanding of vector operations and their applications in physics and mathematics. This quiz will challenge your knowledge with a variety of problems ranging from vector representation to cross products and displacement vectors.
Get ready to tackle questions like:
- What is the expression of a given vector in terms of others?
- How to find components of a displacement vector?
- Calculating unit vectors from given vectors.
Express the vector u in terms of vectors a, b, c.
U=-a+b-c
U=-a-b+c
U=a-b-c
U=a-b+c
A displacement vector, r, in the xy plane is 27 m long and directed at angle θ = 33° as shown in the figure. The x-component of r equals:
32.38
22.64
15.17
28.31
19.70
Given the vector B = (2m)i-(2m)j-(1m)k . The unit vector of -2B is:
-(2/3)i+(2/3)j+(1/3)k
(2/3)i-(2/3)j-(1/3)k
-(2/3m)i+(2/3m)j+(1/3m)k
(2/3m)i-(2/3m)j-(1/3m)k
-(4/3)i+(4/3m)j+(2/3m)k
In which of the following cases (I, 11, III, IV) of the following is: - b = c-a?
1
11
111
1v
Find the magnitude of the cross product of two vectors C and D if Č= 4i – 5k and Ď=3i-2j+20k
70.94
30.67
95.86
139.00
58.47
Vectors A and B each have magnitude 15.5. When drawn with their tails at the same point, the angle between them is 33 degree. The magnitude of A x B is:
130.85
282.63
73.28
41.87
215.90
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