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Properties of Scalar Multiplication Video Lecture | Mathematics (Maths) Class 12 - JEE
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FAQs on Properties of Scalar Multiplication Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is scalar multiplication? |  |
Ans. Scalar multiplication is an operation that involves multiplying a scalar (a real number) with a vector, resulting in a new vector. It is a fundamental concept in linear algebra where each component of the vector is multiplied by the scalar.
| 2. How does scalar multiplication affect the length of a vector? | |
Ans. Scalar multiplication does not change the direction of a vector, but it can change its length. When a scalar is multiplied by a vector, the length of the resulting vector is equal to the absolute value of the scalar multiplied by the length of the original vector.
| 3. Can scalar multiplication change the direction of a vector? | |
Ans. No, scalar multiplication does not change the direction of a vector. The direction of a vector remains the same regardless of scalar multiplication. Only the length of the vector can be affected by scalar multiplication.
| 4. What happens when a negative scalar is multiplied with a vector? | |
Ans. When a negative scalar is multiplied by a vector, the resulting vector points in the opposite direction of the original vector. The magnitude or length of the vector remains the same, but it is reversed in direction.
| 5. Can scalar multiplication be applied to matrices? | |
Ans. Scalar multiplication can be applied to matrices as well. Each element of the matrix is multiplied by the scalar, resulting in a new matrix. The size and shape of the matrix remain the same, but each element is multiplied by the scalar individually.
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Dec 22, 2024 Last updated |
Video Description: Properties of Scalar Multiplication for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
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