`A times(B -C)=(AtimesB)-(AtimesC)`

Show that (btimesc)*(atimesd)+(atimesb)*(ctimesd)+(ctimesa)*(btimesd)=0

Let a, b and c are non-zero vectors such that they are not orthogonal pairwise and such that V_1 =atimes(btimesc) and V_2=(atimesb)timesc, are collinear then which of the following holds goods? Option1. a and b are orthogonal Option 2. a and c are collinear Option 3. b and c are orthogonal Option 4. b=lambda(atimesc) when lambda is a scalar

Given the following informations about the non-zero vectors A, B and C (i)(AtimesB)timesA=0 : (ii)B*B=4 (iii) A*B=-6 : (iv)B*C=6 which one of the following holds good?

Evaluate a^(7)times b^(7)times c^(-4)times c^(5)times d^(9)

If a, b and c are three non-coplanar vectors, then find the value of (a*(btimesc))/(ctimes(a*b))+(b*(ctimesa))/(c*(atimesb)) .

Let a=alphahat(i)+2hat(j)-3hat(k), b=hat(i)+2alphahat(j)-2hat(k) and c=2hat(i)-alphahat(j)+hat(k) . Then the value of 6alpha , such that {(atimesb)times(btimesc)}times(ctimesa)=a , is

If a=2hat(i)+3hat(j)-hat(k), b=-hat(i)+2hat(j)-4hat(k), c=hat(i)+hat(j)+hat(k) , then find the value of (atimesb)*(atimesc) .

Write the following in the exponential form: (a) b times b times b times...10 times. (b) y times y times...15 times (c) 9times a times a times a times b times b times b times b times b (d)8times x times x times y times y times y

Prove that (vec B timesvec c)*[vec A times(vec B timesvec C)]=0

If atimesb=c, btimesc=a, ctimesa=b . If vectors a, b and c are forming a right handed system, then the volume of tetrahedron formed by vectors 3a-2b+2c, -a-2c and 2a-3b+4c is