Question

What is the angle between (P+Q) and (PxQ)

Answer 1

Answer:

90°

Explanation:

As resultant of vector addition (i.e, R=P+Q) always lie in the same plane where two vectors are added.

while the resultant of cross product( R = P×Q ) always lie perpendicular to the plane containing P and Q vectors.

Now if one resultant ( of P+Q) is present in the plane where P and Q is present and other resultant( of P×Q) lie perpendicular to the plane containing P and Q so we can say that the angle between P+Q and P×Q is 90°.

Answer 2

Answer:

90

Explanation:

Considering P and Q as two vectors.

P*Q is a vector perpendicular to the plane of P and Q

Now any vector in the plane of P and Q can be expressed as a linear combination of P and Q.

Here P + Q is also a linear combination of P and Q

So P + Q is also perpendicular to P*Q .So, angle between them is 90 degrees