Question

If F= 2i+3j - k and r =î-j+6k. Find rxF​

Answer 1

GIVEN:

F = 2i^+3j^-k^

r = i^- j^ +6k^

TO FIND:

r × F

FORMULAE:

A × B = i^$((b_1c_2) - (b_2c_1))$ - j^$((a_1c_2) - (a_2c_1))$ +k^$((a_1b_2) - (a_2b_1))$

EXPLANATION:

r × F is also a vector because cross product or vector product always gives a vector.

NOTE : REFER ATTACHMENT FOR EXPLANATION.

EXTRA POINT:

• UNLIKE IN VECTOR PRODUCT SCALAR PRODUCT OR DOT PRODUCT ALWAYS RESULTS IN A SCALAR.

SOME MORE FORMULAE ON VECTOR PRODUCT:

• i^ × j^ = k^ and j^ × i^ = -k^

• j^ × k^ = i^ and k^ × j^ = -i^

• k^ × i^ = j^ and i^ × k^ = -j^

• i^ × i^ = j^ × j^ = k^ × k^ = 0

Answer 2

Answer:

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