Advertisements
Advertisements
Question
Choose the correct alternative:
If the points whose position vectors `10hat"i" + 3hat"j", 12hat"i" - 5hat"j"` and `"a"hat"i" + 11hat"j"` are collinear then a is equal to
Options
6
3
5
8
Solution
8
APPEARS IN
RELATED QUESTIONS
Find the value of λ for which the vectors `vec"a" = 3hat"i" + 2hat"j" + 9hat"k"` and `hat"b" = hat"i" + lambdahat"j" + 3hat"k"` are parallel
Show that the following vectors are coplanar
`hat"i" - 2hat"j" + 3hat"k", -2hat"i" + 3hat"j" - 4hat"k", -hat"j" + 2hat"k"`
Show that the following vectors are coplanar
`2hat"i" + 3hat"j" + hat"k", hat"i" - hat"j", 7hat"i" + 3hat"j" + 2hat"k"`
Show that the points whose position vectors `4hat"i" + 5hat"j" - hat"k", - hat"j" - hat"k", 3hat"i" + 9hat"j" + 4hat"k"` and `-4hat"i" + 4hat"j" + 4hat"k"` are coplanar
Find the unit vector parallel to `3vec"a" - 2vec"b" + 4vec"C"` if `vec"a" = 3hat"i" - hat"j" - 4hat"k", vec"b" = -2hat"i" + 4hat"j" - 3hat"k"`, and `vec"c" = hat"i" + 2hat"j" - hat"k"`
The position vectors `vec"a", vec"b", vec"c"` of three points satisfy the relation `2vec"a" - 7vec"b" + 5vec"c" = vec0`. Are these points collinear?
The position vectors of the points P, Q, R, S are `hat"i" + hat"j" + hat"k", 2hat"i" + 5hat"j", 3hat"i" + 2hat"j" - 3hat"k"`, and `hat"i" - 6hat"j" - hat"k"` respectively. Prove that the line PQ and RS are parallel
Find the value or values of m for which `"m"(hat"i" + hat"j" + hat"k")` is a unit vector
Choose the correct alternative:
If `vec"a" + 2vec"b"` and `3vec"a" + "m"vec"b"` are parallel, then the value of m is
Choose the correct alternative:
If ABCD is a parallelogram, then `vec"AB" + vec"AD" + vec"CB" + vec"CD"` is equal to
Choose the correct alternative:
One of the diagonals of parallelogram ABCD with `vec"a"` and `vec"b"` as adjacent sides is `vec"a" + vec"b"`. The other diagonal `vec"BD"` is
Choose the correct alternative:
If `vec"a", vec"b", vec"c"` are the position vectors of three collinear points, then which of the following is true?
