Which of the following is not true about vect | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The dot product (scalar product) of two vectors results in a scalar,while the cross product (vector product) results in a vector.$1$. For $(\vec{A

Vedclass · Accepted Answer

$(\vec{A} 	imes \vec{C}) 	imes(\vec{B} 	imes \vec{C})$ is a scalar value.

Vedclass · Answer

(C) The dot product (scalar product) of two vectors results in a scalar,while the cross product (vector product) results in a vector.$1$. For $(\vec{A} \cdot \vec{A})(\vec{B} \cdot \vec{C})$: Both $(\vec{A} \cdot \vec{A})$ and $(\vec{B} \cdot \vec{C})$ are scalars. The product of two scalars is a scalar. This statement is true.$2$. For $(\vec{A} 	imes \vec{B}) \cdot(\vec{B} 	imes \vec{C})$: Both $(\vec{A} 	imes \vec{B})$ and $(\vec{B} 	imes \vec{C})$ are vectors. The dot product of two vectors is a scalar. This statement is true.$3$. For $(\vec{A} 	imes \vec{C}) 	imes(\vec{B} 	imes \vec{C})$: Both $(\vec{A} 	imes \vec{C})$ and $(\vec{B} 	imes \vec{C})$ are vectors. The cross product of two vectors is a vector. Therefore,the statement that it is a scalar value is false.$4$. For $\vec{A} 	imes(\vec{B} 	imes \vec{C})$: $(\vec{B} 	imes \vec{C})$ is a vector. The cross product of $\vec{A}$ with this vector results in another vector. This statement is true.

Which of the following is not true about vectors $\vec{A}, \vec{B}$ and $\vec{C}$?

Similar Questions

$A$ vector perpendicular to the vector $(4 \hat{i}-3 \hat{j})$ is

Why is the product of two vectors not commutative?

The resultant of two vectors having magnitudes $2$ and $3$ is $1$. What is their cross product?

Explain the kinds of multiplication operations for vectors.

Find the unit vector perpendicular to the two vectors $\vec{A} = \hat{i} - \hat{j} + \hat{k}$ and $\vec{B} = \hat{i} + \hat{j} + \hat{k}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module