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Write A Linear Combination Of Unit Vectors

 Express the vector (1, 0) as a linear combination of the unit vectors Î and Ĵ 

  Write the vector (3, 2, 1) as a linear combination of the unit vectors Î ,Ĵ  and k̂

Fill in the blanks.

The vector (-2, 5) as a linear combination of the unit vectors Î and Ĵ are___

Is this statement true or false?

The linear combination of the unit vectors Î and Ĵ  that represents the vector (-5, 3) is 5Î -3Ĵ 

 What is the linear combination of the unit vectors Î and Ĵ   that represents the vector (0, -2)?

Fill in the blanks.

The vector (-3, 1, 0) as a linear combination of the unit vectors Î ,Ĵ  and k̂ is ___

 Write the vector (2, 1, -2) as a linear combination of the unit vectors Î ,Ĵ  and k̂

 Express the vector (4, 0, -1) as a linear combination of the unit vectors Î ,Ĵ and k̂

Fill in the blanks.

The linear combination of the unit vectors Î ,Ĵ  and k̂ that represents the vector (1, 2, 3) is ___

 Is this statement true or false?

The linear combination of the unit vectors Î ,Ĵ  and k̂ that represents the vector (0, -4, 2) is 4Î + 2 k̂