Question

Two vectors A⃗ and B⃗ are at right angles to each other. The magnitude of A⃗ is 4.00. What should be the length of B⃗ so that the magnitude of their vector sum is 9.00?

Answer 1

Answer:

B= $\sqrt{65}$ ≅8.06

Explanation:

Using the Pythagorean theorem:

$C^{2}$= $A^{2}$ + $B^{2}$

where C represents the length of the hypotenuse and A and B the lengths of the triangle's other two sides, we can find out the lenght of B assuming the value of the hypotenuse being 9 and A being 4.

$9^{2}$=$4^{2}$ + $B^{2}$

81= 16+ $B^{2}$

81-16= $B^{2}$

B= $\sqrt{65}$ ≅8.06