Question

If A=-4i^+3j^ and B=2i^+5j^ and C=A×B then the vector C makes an angle of​

Answer 1

Answer:

$\vec C$ makes an angle of 90° with both $\vec A$ and $\vec B$

Explanation:

Given

$\vec A=4\hat i+3\hat j$

$\vec B=2\hat i+5\hat j$

The cross product of two vectors $\vec A$ and $\vec B$ is given by

$\boxed{\vec A\times \vec B=\lvert\vec A\rvert\lvert\vec B\rvert\sin\theta\hat n}$

where, θ is the angle between the vectors $\vec A$ and $\vec B$ and  $\hat n$ is the unit vector perpendicular to both  $\vec A$ and $\vec B$.

Since  $\vec A$ and $\vec B$ are in x-y plane the resultant cross product vector  $\vec C$ will be in the direction perpendicular to the x-y plane

i.e.  $\vec C$ will be in the direction of the z-axis

Thereofore,  $\vec C$ makes an angle of 90° with both $\vec A$ and $\vec B$

Hope this helps.

Answer 2

Answer:180° with z axis

Explanation: