Question

if p.q=0 then |p×q| is​

Answer 1

Answer:

As p.q=0, p is perpendicular to q and p×r=0, r is parallel to p. It implies that r is also perpendicular to q.

Answer 2

Explanation:

Given: P.Q = 0

To find:If P.Q = 0 , then |PxQ| is

Solution:

Step 1: Find angle between both the vectors:

If dot product of two vectors P and Q is zero,that means the angle between both vectors are 90°.

Because

$P.Q=|P||Q|cos\theta$

we know that cos90°=0,

Thus,

P.Q=0

Step 2: Find cross product between the two vectors

Cross product is given by

$P\times Q=|P||Q|sin\theta$

put the value of angle, i. e. 90°

$P\times Q=|P||Q|sin90°$

Because sin 90°=1

Therefore

$P\times Q=|P||Q|$

Now magnitude

$|P\times Q|=||P||Q||$

or

$|P\times Q|=|P||Q|$

Final answer:

$\bold{|P\times Q|=|P||Q|}$

Hope it helps you.

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Numerical value of vector A = 4i - 3j + 5k is ? options: a) 5√2,,,, b) 2,,, c) 6√3,,,d) 0

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