No the other vector must be a null or zero vector . because if the
other vector is "j" or "k" , then the scalar product is 0 ( as cos 90
is 0 ) but the vector product is not 0 ( sine 90 is 1) . and if they
are anti parallel or parallel then vector product is 0 but not scalar
product . So the other vector must be 0 to make both cross product and
dot product 0.
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Thank you for correcting us.
No the other vector must be a null or zero vector . because if the other vector is "j" or "k" , then the scalar product is 0 ( as cos 90 is 0 ) but the vector product is not 0 ( sine 90 is 1) . and if they are anti parallel or parallel then vector product is 0 but not scalar product . So the other vector must be 0 to make both cross product and dot product 0.