Question

if p vectar cross q vector =r vector ,then which if the following vector is not true
a)r perpendicular to p vector
b)r perpendicular to q vector
c) r perpendicular to p+ q vector
d)r perpendicular the p cross q vector

Answer 1

Answer:

REQUIRED OPTION

d.) r perpendicular the p cross q vector

Reason:

given that,

p vectar cross q vector = r vector

to find,

option that is not true,

options are,

a.) r perpendicular to p vector

➡yes,

this statement is true because,

r will be perpendicular to p vector because r is the cross product of p and q and we know that the cross product of a vector is perpendicular to the both vectors.

b.) r perpendicular to q vector

➡yes,

this statement is true because,

r will be perpendicular to q vector because r is the cross product of p and q and we know that the cross product of a vector is perpendicular to the both vectors.

c.) r perpendicular to p+ q vector,

yes,

this statement is not true because,

the sum of two vectors are in same plane and the cross product of the two vectors are perpendicular to the plane so, it will perpendicular to p + q vector.

d.) r perpendicular the p cross q vector

No,

this statement is not true because,

r is already the cross product(vector product) of p and q and the another cross product of the two vectors will overlaps or parallel to the both vectors.

so, it can never perpendicular to each other.

___________________

REQUIRED OPTION

d.) r perpendicular the p cross q vector

___________________

Answer 2

Answer:

d) r perpendicular the p cross q vector

Explanation:

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