In Figure (a square), identify the following vectors.(i) Coinitial (ii) Equal (iii) Collinear but not equal
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Statement 1: If ∣∣a+b∣∣=∣∣a−b∣∣, then a and b are perpendicular to each other. Statement 2: If the diagonal of a parallelogram are equal magnitude, then the parallelogram is a rectangle.
Show that ∣a∣b+∣∣b∣∣a
is a perpendicular to ∣a∣b−∣∣b∣∣a,
for any two non-zero vectors aandb˙
If a,bandc are any three non-coplanar vectors, then prove that points l1a+m1b+n1c,l2a+m2b+n2c,l3a+m3b+n3c,l4a+m4b+n4c are coplanar if ⎣⎡l1m1n11l2m2n21l3m3n31l4m4n41⎦⎤=0
then find thevalue of (a×b)a×c˙˙
Find the least positive
integral value of x
for which the angel between vectors a=xi^−3j^−k^
determine vector c
along the internal bisector of the angle between of the angle between vectors aandbsuchthat∣c∣
Four non –zero vectors will always be
a. linearly dependent b. linearly independent
c. either a or b d. none of these
are two vectors of magnitude 1 inclined at 1200
, then find the angle between bandb−a˙