Question

IF vectors P and Q are perpendicular
to each other then,​

Answer 1

When two forces of magnitude P and Q are perpendicular to each other, their resultant is of magnitude R. When they are at an angle of 180 degrees to each other, their resultant is of magnitude R/root 2.

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Answer 2

Resultant is Magnitude R

Explanation:

• The resultant is of magnitude R, when two forces of magnitude P and Q are perpendicular to each other.
• If two vectors are perpendicular to each other, that means their dot product is equal to zero.
• The conditions under which the vector, such as vec P + vec Q and vec P - vec Q will be at right angles to each other. For two vectors to be perpendicular and their dot product should be zero. Therefore, (P+Q)(P-Q)=0 or P=-Q or P=Q.
• Some conditions are-

1. Corresponding angles are equal, if two lines are intersected by a transversal
2. If two parallel lines to each other are intersected by a transversal so then alternative interior angles are equal
3. Two lines perpendicular to each other and also to the same line are perpendicular to each other.