Grade 11Vectors

What is the angle between vector p × vector Q and vector Q ×vector P

Sharin Sahitya

8 Years agoGrade 11

2 Answers

Eshan

8 Years ago

Dear student,

The direction of vector obtained by cross product of two vectors is given by the Screw rule. Hence the direction of $\vec{P}\times \vec{Q}$ is opposite to that of $\vec{Q}\times \vec{P}$ . In fact,
$\vec{P}\times \vec{Q}=-\vec{Q}\times \vec{P}$
Hence the angle between the two vectors is $180^{\circ}$

Nameet Mishraa

8 Years ago

VectorP ×VectorQ -It is the cross product of the vectors p and q and it will lie in a plane perpendicular to that of P and Q.Its direction could be determined by right hand thumb rule..

VectorQ×VectorP -Same like mentioned above.This will lie in plane perpendicular to the vectors P and Q but opposite to Vector P ×Vector Q .

Thus.. since VectorP×VectorQ and VectorQ×VectorP are opposite in direction,So the angle between them would be 180 degrees.