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Class 12 Maths Practice Test - Multiplication of a Vector by a Scalar
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Avg score: 84% • Most missed: “|λ| times the magnitude of vector \(\vec{a}\) is denoted as ______”
Class 12 Maths Practice Test - Multiplication of a Vector by a Scalar
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10 Questions

1. If k is any scalar and \(\vec{a}\), \(\vec{b}\) be vectors then k \(\vec{a}\) + m\(\vec{a}\) can also be written as ________
2. Multiplication of vector \(\vec{a}\) and scalar λ is denoted as ______
3. \(\vec{a}\)=\(\hat{i}\) + 2\(\hat{j}\) and \(\vec{b}\)=2\(\hat{i}\) + \(\hat{j}\) , Is |\(\vec{a}\)| = |\(\vec{b}\)|?
4. What is direction of vector \(\vec{a}\) if it is multiplied with -λ?
5. Direction of λ\(\vec{a}\) and \(\vec{a}\) is same if λ is _______
6. If k is any scalar and \(\vec{a}\), \(\vec{b}\) be vectors then k (\(\vec{a}\)+ \(\vec{b}\))= ________
7. |λ| times the magnitude of vector \(\vec{a}\) is denoted as ______
8. Find magnitude \(\vec{a}\) =\(\hat{i}\) + \(\hat{j}\) + \(\hat{k}\).
9. Find values of x, y, z if vectors \(\vec{a}\)=x\(\hat{i}\) + 2\(\hat{j}\) + z\(\hat{k}\) and \(\vec{b}\)=2\(\hat{i}\) + y\(\hat{j}\) + \(\hat{k}\) are equal.
10. If \(\vec{a}\) =\(\hat{i}\) + \(\hat{j}\) + \(\hat{k}\) and λ=5, what is value of λ\(\vec{a}\)?

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