A vector vec{A} points vertically upward and | vedclass

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

Question

(B) Let the vertical upward direction be represented by the unit vector $\hat{k}$ and the north direction be represented by the unit vector $\hat{j}$.

Vedclass · Accepted Answer

along west

Vedclass · Answer

(B) Let the vertical upward direction be represented by the unit vector $\hat{k}$ and the north direction be represented by the unit vector $\hat{j}$.Thus,$\vec{A} = A\hat{k}$ and $\vec{B} = B\hat{j}$.The vector product is given by $\vec{A} 	imes \vec{B} = (A\hat{k}) 	imes (B\hat{j})$.Using the cross product rules for unit vectors,$\hat{k} 	imes \hat{j} = -\hat{i}$.Therefore,$\vec{A} 	imes \vec{B} = -AB\hat{i}$.The unit vector $-\hat{i}$ points towards the west. Hence,the vector product is along west.

Column $I$	Column $II$
$(A) (A+B)$	$(p)$ North-east
$(B) (A-B)$	$(q)$ Vertically upwards
$(C) (A \times B)$	$(r)$ Vertically downwards
$(D) (A \times B) \times (A \times B)$	$(s)$ None

$A$ vector $\vec{A}$ points vertically upward and $\vec{B}$ points towards north. The vector product $\vec{A} \times \vec{B}$ is

Similar Questions

If $\vec{A} \times \vec{B} = \vec{0}$ and $\vec{B} \times \vec{C} = \vec{0}$,what is the angle between $\vec{A}$ and $\vec{C}$?

Vector $A$ is pointing eastwards and vector $B$ is pointing northwards. Match the following two columns:

Column $I$ Column $II$

$(A) (A+B)$ $(p)$ North-east

$(B) (A-B)$ $(q)$ Vertically upwards

$(C) (A \times B)$ $(r)$ Vertically downwards

$(D) (A \times B) \times (A \times B)$ $(s)$ None

Obtain the scalar product of unit vectors in the Cartesian coordinate system.

Consider a vector $\vec{F} = 4 \hat{i} - 3 \hat{j}$. Which of the following vectors is perpendicular to $\vec{F}$?

If a vector $A=2i+2j+3k$ and $B=3i+6j+nk$ are perpendicular to each other,then the value of $n$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module