Tip:A–D to answerE for explanationV for videoS to reveal answer
If vectors ai^+j^+k^, i^+bj^+k^ and i^+j^+ck^ are coplanar, then find the value of 1−a1+1−b1+1−c1.
- A.
1
(Correct Answer) - B.
2
- C.
-2
- D.
-1
Explanation
Solution:
Coplanar hone ke liye determinant zero hona chahiye:
a11amp;1amp;bamp;1amp;1amp;1amp;c=0
Determinant properties (C2→C2−C1 aur C3→C3−C1) apply karne par:
a11amp;1−aamp;b−1amp;0amp;1−aamp;0amp;c−1=0
Isse expand karne par antim equation banti hai:
−1+1−a1+1−b1+1−c1=0⟹1−a1+1−b1+1−c1=1
Sahi Answer: (1) 1
Explanation
Solution:
Coplanar hone ke liye determinant zero hona chahiye:
a11amp;1amp;bamp;1amp;1amp;1amp;c=0
Determinant properties (C2→C2−C1 aur C3→C3−C1) apply karne par:
a11amp;1−aamp;b−1amp;0amp;1−aamp;0amp;c−1=0
Isse expand karne par antim equation banti hai:
−1+1−a1+1−b1+1−c1=0⟹1−a1+1−b1+1−c1=1
Sahi Answer: (1) 1
