If vector `hat(i) - 3hat(j) + 5hat(k)` and `hat(i) - 3 hat(j) - a hat(k)` are equal vectors, then the value of a is :

If vectors hat(i) - 3hat(j) + 5hat(k) and hat(i) - 3hat(j) - a hat(k) are equal vectors, then the value of a is :

If a hat(i) + 6hat(j) - hat(k) and 7hat(i) -3hat(j) + 17hat(k) are perpendicular vectors, then the value of a= ….

The two vectors A=2hat(i)+hat(j)+3hat(k) and B=7hat(i)-5hat(j)-3hat(k) are :-

If the vectors hat(i)-2hat(j)+hat(k),ahat(i)+5hat(j)-3hat(k)and5hat(i)-9hat(j)+4hat(k) are coplanar, then the value of a is

The scaler product of the vector hat (i) + hat (j) + hat (k) with the unit vector along the sum of vectors 2 hat (i) + 4 hat (j) - 5 hat (k) and lambda hat (i) + 2 hat (j) + 3 hat (k) is equal to one . Find the value of lambda

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.

Thescalar product of the vector hat i + hat j + hat k with a unit vector along the sum of vectors 2 hat i + 4 hat j - 5 hat k and lambda hat i + 2 hat j + 3 hat k is equal to one. Find the value of lambda .

The dot product of a vector with the vectors hat(i) - 3hat(k) , hat(i) - 2hat(k) and hat(i) + hat(j) + 4hat(k) are 0, 5 and 8 respectively. Find the vector.