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

	Mathematics (Maths) Class 12 204 videos\|290 docs\|139 tests

Mathematics (Maths) Class 12

204 videos|290 docs|139 tests

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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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	Nov 22, 2024 Last updated

Video Description: Properties of Scalar Multiplication for JEE 2024 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 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Properties of Scalar Multiplication.

Introduction of Properties of Scalar Multiplication in English is available as part of our Mathematics (Maths) Class 12 for JEE & Properties of Scalar Multiplication in Hindi for Mathematics (Maths) Class 12 course. Download more important topics related with notes, lectures and mock test series for JEE Exam by signing up for free.

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Video Lecture & Questions for Properties of Scalar Multiplication Video Lecture | Mathematics (Maths) Class 12 - JEE - JEE full syllabus preparation | Free video for JEE exam to prepare for Mathematics (Maths) Class 12.

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	Mathematics (Maths) Class 12 204 videos\|290 docs\|139 tests

Mathematics (Maths) Class 12

204 videos|290 docs|139 tests

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