Which of these are correct for an electric field? A) It's a vector quantity, and can be cancelled.B) Three of three are correct.C) It stores electric energy.D) Two of three are correct.E) It's the altered space surrounding electric charge.

A. "cancelled"? Surely your instructor did not use that word. If an electric field is opposed, then the two electric fields may add to zero. So lesser minds may call that canceling.

b. ?
c. Electric fields indeed stores electric energy, as do magnetic fields.

d. ?

e. I have no idea what altered space is, I am not into new age metaphysics. Electric fields are in fact surrounding electric charge.

To determine which statements are correct for an electric field, let's evaluate each option one by one.

A) It's a vector quantity, and can be cancelled.
An electric field is indeed a vector quantity, meaning it has both magnitude and direction. It is usually represented by an arrow, where the length represents the magnitude and the direction represents the direction of the field. However, the second part of the statement, "can be cancelled," is incorrect. Electric fields cannot be canceled out completely like scalar quantities. They can only be neutralized or partially canceled by the influence of other electric fields.

B) Three of three are correct.
This statement does not provide any specific information and cannot be evaluated.

C) It stores electric energy.
Electric fields themselves do not store electric energy. They are responsible for creating a force on charged particles within their influence, which causes them to move and gain/lose potential energy. The energy associated with electric fields is stored in the charges or in capacitors, not the electric field itself. Therefore, this statement is incorrect.

D) Two of three are correct.
Based on our previous evaluations, statement D cannot be entirely correct. The correct statements are:

1) It's a vector quantity, and can be canceled.
2) It's the altered space surrounding electric charge.

E) It's the altered space surrounding electric charge.
This statement is correct. An electric field refers to the region around an electric charge or charges, in which the charge exerts a force on other charged particles. The presence of an electric field alters the space around the charge, influencing the behavior of nearby charges.

Therefore, the correct answer would be option D: Two of three are correct.