Write two different vectors having same magnitude.
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If a,b,c are non-coplanar vector and λ is a real number, then the vectors a+2b+3c,λb+μcand(2λ−1)c are coplanar when a. μ∈R
d. no value of λ
If the resultant of three forces F1=pi^+3j^−k^,F2=6i^−k^andF3=−5i^+j^+2k^
acting on a parricle has magnitude equal to 5 units, then the value of p
a. −6 b. −4 c. 2 d. 4
Prove that vectors u=(al+a1l1)i^+(am+a1m1)j^+(an+a1n1)k^
w=(bl+b1l1)i^+(bm+b1m1)j^+(bn+b1n1)k^ are coplanar.
If a,bandc are non-cop0lanar vector, then that prove ∣∣(ad˙)(b×c)+(bd˙)(c×a)+(cd˙)(a×b)∣∣ is independent of d,wheree is a unit vector.
determine vector c
along the internal bisector of the angle between of the angle between vectors aandbsuchthat∣c∣
Check whether the three vectors 2i^+2j^+3k^,−3i^+3j^+2k^and3i^+4k^
from a triangle or not
are two non-collinear vectors, prove that the points with position vectors a+b,a−b
are collinear for all real values of λ˙
Show that (a−b)×(a+b)=2a×b
and given a geometrical interpretation of it.