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In this worksheet, we will practice writing a vector as a linear combination of unit vectors.

Q1:

Express the vector ⃑ 𝑍 = − 5 2 , − 1 9 using the unit vectors ⃑ 𝑖 and ⃑ 𝑗 .

Q2:

The given figure shows a vector in a plane. Express this vector in terms of the unit vectors ⃑ 𝑖 and ⃑ 𝑗 .

Q3:

Express the vector ⃑ 𝐿 = ( 1 0 , − 1 0 ) using the unit vectors ⃑ 𝑖 and ⃑ 𝑗 .

Q4:

Express the vector ⃑ 𝐿 = ( 9 , − 1 3 ) using the unit vectors ⃑ 𝑖 and ⃑ 𝑗 .

Q5:

Q6:

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