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Properties of Scalar Multiplication Video Lecture | Mathematics (Maths) Class 12 - JEE

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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Oct 02, 2025 Last updated

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JEE Commerce Humanities/Arts Grade 12

Video Description: Properties of Scalar Multiplication for JEE 2025 is part of Mathematics (Maths) Class 12 preparation. The notes and questions for Properties of Scalar Multiplication have been prepared according to the JEE exam syllabus. Information about Properties of Scalar Multiplication covers all important topics for JEE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Properties of Scalar Multiplication.

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	Mathematics (Maths) Class 12 203 videos\|307 docs\|139 tests

Mathematics (Maths) Class 12

203 videos|307 docs|139 tests

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