Question

if xi+ yj then find its magnitude​

Answer 1

Answer:

3d vector xi + yj + zk = x2+y2+z2−−−−−−−−−−√

Explanation:

In triangle OBP (1)

OP2 = OB2 + BP2

And in triangle OAB (2)

OB2 = OA2 + AB2

From equation 1 and 2 we get,

OP2 = OA2+ AB2 + BP2

OP→=OA2+AB2+BP2−−−−−−−−−−−−−−−√

Therefore, the magnitude of a 3d vector xi + yj + zk = x2+y2+z2−−−−−−−−−−√

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