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One of the following laws for dot and cross multiplication of three vectors A , B and C is invalid:

(A.B)C=A(B.C)

A×(B×C)=(A.C)B−(A.B)C

(A×B)×C=(A.C)B−(B.C)A

A×(B×C)≠(A×B)×C
Let
a⃗ =5i+2j−3k
, then |a|= ……...
38

√38
4

√4
Find the projection of the vector
A=i−2j+k
on the vector
B=4i−4j+7K

1/5

4/7

19/9

11/5
If A=3i-j-4k, B=-2i+4j-3k, C=i+2j-k,find
|A+B+C|

(√101)

(√93)

(√27)

(√95)
Given that
A=3i−2j-k
,
B=2i−4j−3k
and
C=−i+2j+2k
. Find 2A-3B-5C

(√30)

(√15)

(√11)

(√5)
Given that
A=3i−2j-k
,
B=2i−4j−3k
and
C=−i+2j+2k
. Find A+B+C

5(√3)

4(√5)

4(√2)

3(√5)
Given that
A=−i+2j+2k
. Find the magnitude of A
3
5

(√3)

(√5)
The resultant vector C of vectors A and B is perpendicular to vector A. Also magnitudes of vectors A and C are equal. Find the angle between the vectors A and B.
how we can draw the quadratic surfaces? and how we know about the direction of hyperbola?
Let u = <5, 6>, v = <-2, -6>. Find -2u + 5v.
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