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Any arbitrary vector in a three dimensional Carte- sian space can be expressed as a linear combina- tion of the following number of linearly indepen- dent vectors.
(b) 1
(a) Arbitrary number
(c) 2
(d) 3?
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Any arbitrary vector in a three dimensional Carte- sian space can be e...
Explanation:

Linearly Independent Vectors:
- In a three-dimensional Cartesian space, three linearly independent vectors are required to span the entire space.
- These vectors should not lie on the same plane and should not be parallel or collinear.

Expressing Arbitrary Vector as a Linear Combination:
- Any arbitrary vector in a three-dimensional space can be expressed as a linear combination of three linearly independent vectors.
- This is based on the principle that three independent vectors are needed to define any point in a three-dimensional space uniquely.
- By adjusting the coefficients of these independent vectors, any arbitrary vector in the space can be represented.

Conclusion:
- To express any arbitrary vector in a three-dimensional Cartesian space as a linear combination, three linearly independent vectors are required.
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Any arbitrary vector in a three dimensional Carte- sian space can be expressed as a linear combina- tion of the following number of linearly indepen- dent vectors.(b) 1(a) Arbitrary number(c) 2(d) 3?
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